the 387 isometry classes of irreducible [9,5,4]_5 codes are:

code no       1:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 1 0 0 0 0 4 0
2 1 0 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
2 2 4 0 
2 4 2 0 
4 2 2 0 
0 0 0 3 
)
acting on the columns of the generator matrix as follows (in order):
(1, 8)(2, 7)(3, 6)
orbits: { 1, 8 }, { 2, 7 }, { 3, 6 }, { 4 }, { 5 }, { 9 }

code no       2:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 1 0 0 0 0 4 0
3 1 0 1 0 0 0 0 4
the automorphism group has order 12
and is strongly generated by the following 3 elements:
(
4 0 0 0 
0 0 4 0 
0 4 0 0 
1 1 1 1 
, 
4 2 2 0 
2 2 4 0 
2 4 2 0 
0 0 0 3 
, 
1 1 2 0 
3 4 4 0 
0 0 2 0 
4 3 0 3 
)
acting on the columns of the generator matrix as follows (in order):
(2, 3)(4, 5)(7, 8), 
(1, 6)(2, 8)(3, 7), 
(1, 8)(2, 6)(4, 9)
orbits: { 1, 6, 8, 2, 7, 3 }, { 4, 5, 9 }

code no       3:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 1 0 0 0 0 4 0
2 2 0 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
, 
2 4 2 0 
4 2 2 0 
2 2 4 0 
2 2 2 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(6, 7), 
(1, 7)(2, 6)(3, 8)(4, 5)
orbits: { 1, 2, 7, 6 }, { 3, 8 }, { 4, 5 }, { 9 }

code no       4:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 1 0 0 0 0 4 0
3 2 0 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
2 4 2 0 
4 2 2 0 
2 2 4 0 
0 0 0 3 
)
acting on the columns of the generator matrix as follows (in order):
(1, 7)(2, 6)(3, 8)
orbits: { 1, 7 }, { 2, 6 }, { 3, 8 }, { 4 }, { 5 }, { 9 }

code no       5:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 1 0 0 0 0 4 0
4 2 0 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
4 0 0 0 
4 2 2 0 
3 1 3 0 
0 0 0 4 
, 
3 3 1 0 
3 1 3 0 
1 3 3 0 
0 0 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(5, 9), 
(1, 8)(2, 7)(3, 6)
orbits: { 1, 8 }, { 2, 6, 7, 3 }, { 4 }, { 5, 9 }

code no       6:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 1 0 0 0 0 4 0
4 4 0 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
4 0 0 0 
0 4 0 0 
3 3 1 0 
4 4 0 1 
, 
0 1 0 0 
1 0 0 0 
0 0 1 0 
0 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(3, 8)(4, 9)(6, 7), 
(1, 2)(6, 7)
orbits: { 1, 2 }, { 3, 8 }, { 4, 9 }, { 5 }, { 6, 7 }

code no       7:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 1 0 0 0 0 4 0
4 3 2 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
0 0 4 0 
0 4 0 0 
4 0 0 0 
1 1 1 1 
, 
2 2 4 0 
2 4 2 0 
4 2 2 0 
0 0 0 3 
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(4, 5)(6, 8), 
(1, 8)(2, 7)(3, 6)
orbits: { 1, 3, 8, 6 }, { 2, 7 }, { 4, 5 }, { 9 }

code no       8:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
1 2 0 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
1 0 0 0 
0 1 0 0 
0 0 0 1 
0 0 1 0 
, 
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(3, 4)(6, 8)(7, 9), 
(1, 2)(6, 7)(8, 9)
orbits: { 1, 2 }, { 3, 4 }, { 5 }, { 6, 8, 7, 9 }

code no       9:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
3 2 0 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      10:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
3 3 0 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      11:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 3 0 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      12:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
1 4 0 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      13:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 4 0 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      14:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 0 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      15:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
3 0 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      16:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 0 1 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
1 1 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9)
orbits: { 1 }, { 2 }, { 3 }, { 4, 5 }, { 6 }, { 7 }, { 8, 9 }

code no      17:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 2 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      18:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 2 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      19:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
3 2 1 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
3 2 1 1 
, 
4 0 0 0 
4 2 2 0 
3 1 3 0 
4 2 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(4, 9)(5, 8), 
(2, 6)(3, 7)(4, 5, 9, 8)
orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4, 9, 8, 5 }

code no      20:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 3 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      21:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 3 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      22:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 3 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      23:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 4 1 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 1 0 0 
1 0 0 0 
0 0 1 0 
4 4 4 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(4, 5)(6, 7)(8, 9)
orbits: { 1, 2 }, { 3 }, { 4, 5 }, { 6, 7 }, { 8, 9 }

code no      24:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 4 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      25:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
3 4 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      26:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 4 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      27:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
1 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      28:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      29:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
3 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      30:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 1 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      31:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 2 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      32:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
1 2 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
2 1 1 0 
0 0 3 0 
0 3 0 0 
0 0 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 6)(2, 3)(5, 9)
orbits: { 1, 6 }, { 2, 3 }, { 4 }, { 5, 9 }, { 7 }, { 8 }

code no      33:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      34:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      35:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      36:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
1 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      37:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
3 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      38:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      39:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
1 0 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      40:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 0 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      41:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 0 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      42:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 1 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      43:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
1 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      44:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      45:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
3 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      46:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 3 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      47:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      48:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
1 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
2 1 1 0 
0 0 3 0 
0 3 0 0 
1 3 0 3 
)
acting on the columns of the generator matrix as follows (in order):
(1, 6)(2, 3)(4, 8)(5, 9)
orbits: { 1, 6 }, { 2, 3 }, { 4, 8 }, { 5, 9 }, { 7 }

code no      49:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      50:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      51:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
1 0 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
2 1 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 8)(5, 9)
orbits: { 1 }, { 2 }, { 3 }, { 4, 8 }, { 5, 9 }, { 6 }, { 7 }

code no      52:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 0 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      53:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
3 0 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      54:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 0 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 4 0 
3 1 3 0 
4 0 0 0 
4 0 4 1 
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(2, 7)(4, 9)
orbits: { 1, 3 }, { 2, 7 }, { 4, 9 }, { 5 }, { 6 }, { 8 }

code no      55:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 1 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      56:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 1 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      57:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      58:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
1 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      59:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      60:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
3 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      61:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      62:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
1 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      63:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      64:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
3 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      65:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 4 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
3 0 0 0 
0 0 0 3 
0 3 3 2 
0 3 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(2, 4)(3, 9)(5, 7)
orbits: { 1 }, { 2, 4 }, { 3, 9 }, { 5, 7 }, { 6 }, { 8 }

code no      66:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
2 2 0 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      67:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
4 2 0 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      68:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
1 3 0 1 0 0 0 0 4
the automorphism group has order 6
and is strongly generated by the following 1 elements:
(
3 4 4 0 
4 3 4 0 
3 3 3 3 
0 0 4 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 8, 7, 2, 9, 6)(3, 4, 5)
orbits: { 1, 6, 9, 2, 7, 8 }, { 3, 5, 4 }

code no      69:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
2 3 0 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      70:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
4 4 0 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
3 0 0 0 
0 2 0 0 
4 3 0 3 
1 3 3 0 
)
acting on the columns of the generator matrix as follows (in order):
(3, 8)(4, 6)(7, 9)
orbits: { 1 }, { 2 }, { 3, 8 }, { 4, 6 }, { 5 }, { 7, 9 }

code no      71:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
2 0 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      72:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
3 0 1 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
1 1 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9)
orbits: { 1 }, { 2 }, { 3 }, { 4, 5 }, { 6 }, { 7 }, { 8, 9 }

code no      73:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
2 2 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      74:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
4 2 1 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
2 0 0 0 
0 2 0 0 
0 0 2 0 
2 1 3 3 
, 
4 3 4 0 
0 3 0 0 
2 1 1 0 
0 0 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(4, 9)(5, 8), 
(1, 7)(3, 6)(5, 8)
orbits: { 1, 7 }, { 2 }, { 3, 6 }, { 4, 9 }, { 5, 8 }

code no      75:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
0 3 1 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 1 elements:
(
1 3 3 0 
3 1 3 0 
0 0 1 0 
1 2 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 7, 2, 6)(4, 9, 5, 8)
orbits: { 1, 6, 2, 7 }, { 3 }, { 4, 8, 5, 9 }

code no      76:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
2 4 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      77:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
3 4 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      78:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
1 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      79:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
3 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      80:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
4 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      81:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
1 2 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 0 4 
4 3 0 3 
2 4 2 0 
1 0 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 4)(2, 8)(3, 7)(6, 9)
orbits: { 1, 4 }, { 2, 8 }, { 3, 7 }, { 5 }, { 6, 9 }

code no      82:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
4 3 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
2 4 0 4 
0 0 0 3 
0 0 2 0 
0 3 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 8)(2, 4)(6, 9)
orbits: { 1, 8 }, { 2, 4 }, { 3 }, { 5 }, { 6, 9 }, { 7 }

code no      83:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
1 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      84:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
3 4 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 3 4 0 
0 3 0 0 
2 1 1 0 
0 0 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 7)(3, 6)(5, 8)
orbits: { 1, 7 }, { 2 }, { 3, 6 }, { 4 }, { 5, 8 }, { 9 }

code no      85:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
4 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      86:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
2 0 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      87:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
0 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      88:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
2 3 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      89:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
0 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      90:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
1 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      91:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 1 0 1 0 0 0 4 0
1 3 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 3 4 0 
0 3 0 0 
2 1 1 0 
0 0 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 7)(3, 6)(5, 8)
orbits: { 1, 7 }, { 2 }, { 3, 6 }, { 4 }, { 5, 8 }, { 9 }

code no      92:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
2 2 0 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      93:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
3 3 0 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      94:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
2 4 0 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      95:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
2 0 1 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
1 1 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9)
orbits: { 1 }, { 2 }, { 3 }, { 4, 5 }, { 6 }, { 7 }, { 8, 9 }

code no      96:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
0 2 1 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
2 0 0 0 
0 2 0 0 
0 0 2 0 
0 1 3 3 
, 
0 1 0 0 
1 0 0 0 
0 0 1 0 
4 4 4 4 
)
acting on the columns of the generator matrix as follows (in order):
(4, 9)(5, 8), 
(1, 2)(4, 5)(6, 7)(8, 9)
orbits: { 1, 2 }, { 3 }, { 4, 9, 5, 8 }, { 6, 7 }

code no      97:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
2 2 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      98:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
4 2 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no      99:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
3 3 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     100:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
4 3 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     101:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
2 4 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     102:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
3 4 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     103:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
3 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     104:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
0 1 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
2 3 0 3 
0 0 0 3 
0 1 2 1 
0 3 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 8)(2, 4)(3, 9)
orbits: { 1, 8 }, { 2, 4 }, { 3, 9 }, { 5 }, { 6 }, { 7 }

code no     105:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
2 1 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 4 4 4 
0 1 0 0 
2 1 2 1 
3 4 4 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 5)(3, 9)(4, 6)
orbits: { 1, 5 }, { 2 }, { 3, 9 }, { 4, 6 }, { 7 }, { 8 }

code no     106:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
0 2 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     107:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
0 3 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
1 3 3 0 
0 0 4 0 
0 4 0 0 
0 2 3 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 6)(2, 3)(4, 9)(5, 8)
orbits: { 1, 6 }, { 2, 3 }, { 4, 9 }, { 5, 8 }, { 7 }

code no     108:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
4 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     109:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
0 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     110:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
4 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     111:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
2 0 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     112:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
2 1 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     113:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
0 2 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
3 2 0 2 
0 2 0 0 
0 2 3 1 
0 0 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 8)(3, 9)(5, 7)
orbits: { 1, 8 }, { 2 }, { 3, 9 }, { 4 }, { 5, 7 }, { 6 }

code no     114:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
3 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     115:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
1 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     116:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
2 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     117:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
3 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     118:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     119:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
3 0 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
3 0 0 0 
0 3 0 0 
0 0 3 0 
3 2 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(4, 8)(5, 9)
orbits: { 1 }, { 2 }, { 3 }, { 4, 8 }, { 5, 9 }, { 6 }, { 7 }

code no     120:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
3 1 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     121:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
3 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     122:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
0 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     123:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
1 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     124:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
2 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     125:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
0 4 4 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
3 0 0 0 
0 0 0 3 
0 3 3 2 
0 3 0 0 
, 
4 2 2 0 
0 0 1 0 
0 1 0 0 
0 1 1 4 
)
acting on the columns of the generator matrix as follows (in order):
(2, 4)(3, 9)(5, 7), 
(1, 6)(2, 3)(4, 9)
orbits: { 1, 6 }, { 2, 4, 3, 9 }, { 5, 7 }, { 8 }

code no     126:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
4 2 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     127:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
3 3 1 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
1 0 0 0 
0 1 0 0 
0 0 1 0 
2 2 4 4 
, 
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(4, 9)(5, 8), 
(1, 2)(6, 7)
orbits: { 1, 2 }, { 3 }, { 4, 9 }, { 5, 8 }, { 6, 7 }

code no     128:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
4 4 1 1 0 0 0 0 4
the automorphism group has order 16
and is strongly generated by the following 3 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
1 1 1 1 
, 
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
, 
3 3 3 3 
0 0 0 2 
0 0 4 0 
3 4 4 0 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9), 
(1, 2)(6, 7), 
(1, 8, 6, 4, 2, 9, 7, 5)
orbits: { 1, 2, 5, 4, 7, 6, 9, 8 }, { 3 }

code no     129:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
1 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     130:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
3 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     131:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
4 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     132:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
2 1 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     133:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
3 1 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     134:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
3 3 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(6, 7)
orbits: { 1, 2 }, { 3 }, { 4 }, { 5 }, { 6, 7 }, { 8 }, { 9 }

code no     135:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
4 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     136:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
4 4 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(6, 7)
orbits: { 1, 2 }, { 3 }, { 4 }, { 5 }, { 6, 7 }, { 8 }, { 9 }

code no     137:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
2 0 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     138:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
4 1 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     139:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
3 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     140:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
4 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     141:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
3 0 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     142:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
2 1 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     143:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
3 1 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     144:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
4 1 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     145:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 0 1 0 0 0 4 0
3 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     146:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
2 2 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     147:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
4 2 1 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
3 1 3 0 
0 1 0 0 
4 2 2 0 
4 2 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(1, 7)(3, 6)(4, 9)
orbits: { 1, 7 }, { 2 }, { 3, 6 }, { 4, 9 }, { 5 }, { 8 }

code no     148:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
3 3 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     149:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
4 3 1 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
3 0 0 0 
0 3 0 0 
0 0 3 0 
3 1 2 2 
, 
0 4 0 0 
4 0 0 0 
0 0 4 0 
1 1 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 9)(5, 8), 
(1, 2)(4, 5)(6, 7)(8, 9)
orbits: { 1, 2 }, { 3 }, { 4, 9, 5, 8 }, { 6, 7 }

code no     150:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
2 4 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     151:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
3 4 1 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
1 1 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9)
orbits: { 1 }, { 2 }, { 3 }, { 4, 5 }, { 6 }, { 7 }, { 8, 9 }

code no     152:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
2 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     153:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
3 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     154:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
0 2 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     155:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
0 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     156:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
1 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     157:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
4 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     158:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
1 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     159:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
3 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     160:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
4 1 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     161:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
0 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     162:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
2 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     163:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
4 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     164:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
1 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     165:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     166:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
3 0 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     167:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
0 1 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     168:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
2 1 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
3 2 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 8)(5, 9)
orbits: { 1 }, { 2 }, { 3 }, { 4, 8 }, { 5, 9 }, { 6 }, { 7 }

code no     169:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
3 1 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     170:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
4 1 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     171:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
2 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     172:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
1 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     173:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 0 1 0 0 0 4 0
2 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     174:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
2 4 0 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(6, 7)(8, 9)
orbits: { 1, 2 }, { 3 }, { 4 }, { 5 }, { 6, 7 }, { 8, 9 }

code no     175:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
3 3 1 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
4 2 2 0 
3 1 3 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(5, 8)
orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4 }, { 5, 8 }, { 9 }

code no     176:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
2 4 1 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
1 1 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9)
orbits: { 1 }, { 2 }, { 3 }, { 4, 5 }, { 6 }, { 7 }, { 8, 9 }

code no     177:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
1 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     178:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
2 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     179:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
4 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     180:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
0 1 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
4 2 2 0 
3 1 3 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(5, 8)
orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4 }, { 5, 8 }, { 9 }

code no     181:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
2 1 2 1 0 0 0 0 4
the automorphism group has order 6
and is strongly generated by the following 2 elements:
(
4 0 0 0 
4 2 2 0 
3 1 3 0 
0 0 0 4 
, 
3 3 3 3 
0 2 0 0 
4 2 4 2 
1 3 3 0 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(5, 8), 
(1, 5)(3, 9)(4, 6)
orbits: { 1, 5, 8 }, { 2, 6, 4 }, { 3, 7, 9 }

code no     182:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
3 1 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
4 2 2 0 
3 1 3 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(5, 8)
orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4 }, { 5, 8 }, { 9 }

code no     183:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
4 1 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
4 2 2 0 
3 1 3 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(5, 8)
orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4 }, { 5, 8 }, { 9 }

code no     184:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
0 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     185:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
1 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
4 2 2 0 
3 1 3 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(5, 8)
orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4 }, { 5, 8 }, { 9 }

code no     186:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
2 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
4 2 2 0 
3 1 3 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(5, 8)
orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4 }, { 5, 8 }, { 9 }

code no     187:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
4 2 2 0 
3 1 3 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(5, 8)
orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4 }, { 5, 8 }, { 9 }

code no     188:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
0 2 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
4 2 2 0 
3 1 3 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(5, 8)
orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4 }, { 5, 8 }, { 9 }

code no     189:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 0 1 0 0 0 4 0
3 2 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
4 2 2 0 
3 1 3 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(5, 8)
orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4 }, { 5, 8 }, { 9 }

code no     190:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 0 1 0 0 0 4 0
1 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     191:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 0 1 0 0 0 4 0
3 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     192:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 0 1 0 0 0 4 0
4 0 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
3 4 4 0 
0 0 2 0 
0 2 0 0 
3 0 4 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 6)(2, 3)(4, 9)(5, 8)
orbits: { 1, 6 }, { 2, 3 }, { 4, 9 }, { 5, 8 }, { 7 }

code no     193:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 0 1 0 0 0 4 0
3 1 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     194:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 0 1 0 0 0 4 0
4 1 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     195:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 0 1 0 0 0 4 0
4 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     196:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 0 1 0 0 0 4 0
2 0 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     197:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 0 1 0 0 0 4 0
4 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     198:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 0 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
, 
4 3 4 0 
3 4 4 0 
0 0 3 0 
2 2 4 3 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(6, 7), 
(1, 6, 2, 7)(4, 9)(5, 8)
orbits: { 1, 2, 7, 6 }, { 3 }, { 4, 9 }, { 5, 8 }

code no     199:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 0 1 0 0 0 4 0
2 0 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     200:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 0 1 0 0 0 4 0
4 1 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     201:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 3 0 1 0 0 0 4 0
3 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     202:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 4 0 1 0 0 0 4 0
2 2 1 1 0 0 0 0 4
the automorphism group has order 8
and is strongly generated by the following 3 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
1 1 1 1 
, 
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
, 
3 3 3 3 
0 0 0 2 
0 0 2 0 
0 2 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9), 
(1, 2)(6, 7), 
(1, 5)(2, 4)(6, 9)(7, 8)
orbits: { 1, 2, 5, 4 }, { 3 }, { 6, 7, 9, 8 }

code no     203:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 4 0 1 0 0 0 4 0
1 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     204:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 4 0 1 0 0 0 4 0
2 1 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
1 1 1 1 
0 4 0 0 
3 4 3 4 
2 1 1 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 5)(3, 9)(4, 6)
orbits: { 1, 5 }, { 2 }, { 3, 9 }, { 4, 6 }, { 7 }, { 8 }

code no     205:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 4 0 1 0 0 0 4 0
4 1 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     206:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 4 0 1 0 0 0 4 0
4 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     207:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 4 0 1 0 0 0 4 0
3 0 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     208:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 4 0 1 0 0 0 4 0
3 3 4 1 0 0 0 0 4
the automorphism group has order 16
and is strongly generated by the following 4 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
4 4 0 1 
, 
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
, 
2 4 2 0 
4 2 2 0 
0 0 4 0 
4 4 2 3 
, 
1 1 0 4 
0 0 0 1 
0 0 1 0 
1 0 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(4, 8)(5, 9), 
(1, 2)(6, 7), 
(1, 6, 2, 7)(4, 5, 8, 9), 
(1, 4, 2, 8)(5, 7, 9, 6)
orbits: { 1, 2, 7, 8, 6, 4, 5, 9 }, { 3 }

code no     209:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
1 0 2 1 0 0 0 4 0
0 1 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(6, 7)(8, 9)
orbits: { 1, 2 }, { 3 }, { 4 }, { 5 }, { 6, 7 }, { 8, 9 }

code no     210:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
1 0 2 1 0 0 0 4 0
2 1 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 4 4 4 
0 1 0 0 
2 1 2 1 
3 4 4 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 5)(3, 9)(4, 6)
orbits: { 1, 5 }, { 2 }, { 3, 9 }, { 4, 6 }, { 7 }, { 8 }

code no     211:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
1 0 2 1 0 0 0 4 0
4 1 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
2 4 2 0 
0 4 0 0 
1 3 3 0 
1 0 2 1 
)
acting on the columns of the generator matrix as follows (in order):
(1, 7)(3, 6)(4, 8)(5, 9)
orbits: { 1, 7 }, { 2 }, { 3, 6 }, { 4, 8 }, { 5, 9 }

code no     212:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
1 0 2 1 0 0 0 4 0
0 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     213:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
1 0 2 1 0 0 0 4 0
4 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     214:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
1 0 2 1 0 0 0 4 0
4 3 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     215:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
1 0 2 1 0 0 0 4 0
2 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     216:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
1 0 2 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     217:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
1 0 2 1 0 0 0 4 0
4 0 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 4 1 
3 1 3 0 
0 0 0 4 
0 0 4 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 9)(2, 7)(3, 4)(5, 6)
orbits: { 1, 9 }, { 2, 7 }, { 3, 4 }, { 5, 6 }, { 8 }

code no     218:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
1 0 2 1 0 0 0 4 0
0 1 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
1 1 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9)
orbits: { 1 }, { 2 }, { 3 }, { 4, 5 }, { 6 }, { 7 }, { 8, 9 }

code no     219:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
1 0 2 1 0 0 0 4 0
4 1 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     220:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
1 0 2 1 0 0 0 4 0
2 2 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 2 2 0 
0 0 1 0 
0 1 0 0 
2 2 4 1 
)
acting on the columns of the generator matrix as follows (in order):
(1, 6)(2, 3)(4, 9)(5, 8)
orbits: { 1, 6 }, { 2, 3 }, { 4, 9 }, { 5, 8 }, { 7 }

code no     221:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
1 0 2 1 0 0 0 4 0
3 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     222:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 0 2 1 0 0 0 4 0
0 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     223:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 0 2 1 0 0 0 4 0
4 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     224:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 0 2 1 0 0 0 4 0
4 1 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     225:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 0 2 1 0 0 0 4 0
0 3 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(6, 7)(8, 9)
orbits: { 1, 2 }, { 3 }, { 4 }, { 5 }, { 6, 7 }, { 8, 9 }

code no     226:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 0 2 1 0 0 0 4 0
4 3 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
2 0 0 0 
2 1 1 0 
4 3 4 0 
3 1 4 2 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(4, 9)(5, 8)
orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4, 9 }, { 5, 8 }

code no     227:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 0 2 1 0 0 0 4 0
4 1 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
3 0 0 0 
0 3 0 0 
0 0 3 0 
3 2 1 2 
)
acting on the columns of the generator matrix as follows (in order):
(4, 9)(5, 8)
orbits: { 1 }, { 2 }, { 3 }, { 4, 9 }, { 5, 8 }, { 6 }, { 7 }

code no     228:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 0 2 1 0 0 0 4 0
2 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     229:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 0 2 1 0 0 0 4 0
1 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     230:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 0 2 1 0 0 0 4 0
2 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     231:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 0 2 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     232:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 0 2 1 0 0 0 4 0
3 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     233:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 0 2 1 0 0 0 4 0
1 3 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 1 0 0 
1 0 0 0 
0 0 1 0 
4 4 4 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(4, 5)(6, 7)(8, 9)
orbits: { 1, 2 }, { 3 }, { 4, 5 }, { 6, 7 }, { 8, 9 }

code no     234:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 0 2 1 0 0 0 4 0
1 4 2 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 1 elements:
(
0 0 1 0 
0 4 0 0 
3 1 3 0 
2 0 1 3 
)
acting on the columns of the generator matrix as follows (in order):
(1, 6, 7, 3)(4, 5, 9, 8)
orbits: { 1, 3, 7, 6 }, { 2 }, { 4, 8, 9, 5 }

code no     235:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 0 2 1 0 0 0 4 0
3 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     236:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 0 2 1 0 0 0 4 0
2 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     237:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 0 2 1 0 0 0 4 0
2 1 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
1 1 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9)
orbits: { 1 }, { 2 }, { 3 }, { 4, 5 }, { 6 }, { 7 }, { 8, 9 }

code no     238:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 0 2 1 0 0 0 4 0
2 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     239:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 0 2 1 0 0 0 4 0
2 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     240:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 2 1 0 0 0 4 0
2 0 3 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
4 4 4 4 
0 1 0 0 
2 1 2 1 
3 4 4 0 
, 
0 0 1 0 
2 4 2 0 
1 0 0 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 5)(3, 8)(4, 6), 
(1, 3)(2, 7)(5, 8)
orbits: { 1, 5, 3, 8 }, { 2, 7 }, { 4, 6 }, { 9 }

code no     241:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 1 2 1 0 0 0 4 0
2 2 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 4 4 4 
0 1 0 0 
2 1 2 1 
3 4 4 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 5)(3, 8)(4, 6)
orbits: { 1, 5 }, { 2 }, { 3, 8 }, { 4, 6 }, { 7 }, { 9 }

code no     242:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 3 2 1 0 0 0 4 0
3 4 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(6, 7)(8, 9)
orbits: { 1, 2 }, { 3 }, { 4 }, { 5 }, { 6, 7 }, { 8, 9 }

code no     243:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 3 2 1 0 0 0 4 0
0 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     244:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 3 2 1 0 0 0 4 0
2 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     245:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 3 2 1 0 0 0 4 0
4 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     246:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 3 2 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     247:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 3 2 1 0 0 0 4 0
2 3 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
1 1 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9)
orbits: { 1 }, { 2 }, { 3 }, { 4, 5 }, { 6 }, { 7 }, { 8, 9 }

code no     248:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 0 3 1 0 0 0 4 0
4 1 3 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
1 1 1 1 
, 
2 0 0 0 
2 1 1 0 
4 3 4 0 
3 0 2 4 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9), 
(2, 6)(3, 7)(4, 9, 5, 8)
orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4, 5, 8, 9 }

code no     249:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 0 3 1 0 0 0 4 0
0 2 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(6, 7)(8, 9)
orbits: { 1, 2 }, { 3 }, { 4 }, { 5 }, { 6, 7 }, { 8, 9 }

code no     250:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 0 3 1 0 0 0 4 0
4 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     251:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 0 3 1 0 0 0 4 0
1 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 1 0 0 
1 0 0 0 
0 0 1 0 
4 4 4 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(4, 5)(6, 7)(8, 9)
orbits: { 1, 2 }, { 3 }, { 4, 5 }, { 6, 7 }, { 8, 9 }

code no     252:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 0 3 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
1 2 1 0 
0 2 0 0 
3 4 4 0 
2 2 4 3 
)
acting on the columns of the generator matrix as follows (in order):
(1, 7)(3, 6)(4, 9)(5, 8)
orbits: { 1, 7 }, { 2 }, { 3, 6 }, { 4, 9 }, { 5, 8 }

code no     253:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
2 2 3 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 8
and is strongly generated by the following 3 elements:
(
1 0 0 0 
0 1 0 0 
0 0 1 0 
4 4 4 4 
, 
0 4 0 0 
4 0 0 0 
0 0 4 0 
0 0 0 4 
, 
4 4 3 1 
3 3 2 4 
0 0 3 0 
1 2 1 0 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9), 
(1, 2)(6, 7), 
(1, 9)(2, 8)(4, 7)(5, 6)
orbits: { 1, 2, 9, 8 }, { 3 }, { 4, 5, 7, 6 }

code no     254:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
3 2 3 1 0 0 0 4 0
4 3 3 1 0 0 0 0 4
the automorphism group has order 6
and is strongly generated by the following 2 elements:
(
0 0 0 1 
4 3 4 0 
2 3 2 4 
1 0 0 0 
, 
3 4 4 0 
4 4 4 4 
4 3 3 1 
4 3 4 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 4)(2, 7)(3, 8)(5, 6), 
(1, 6)(2, 5)(3, 9)(4, 7)
orbits: { 1, 4, 6, 7, 5, 2 }, { 3, 8, 9 }

code no     255:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 1 0 0 0 4 0 0
4 2 3 1 0 0 0 4 0
2 4 3 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
1 1 1 1 
, 
0 1 0 0 
1 0 0 0 
0 0 1 0 
4 4 4 4 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9), 
(1, 2)(4, 5)(6, 7)
orbits: { 1, 2 }, { 3 }, { 4, 5 }, { 6, 7 }, { 8, 9 }

code no     256:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
4 4 1 0 0 0 0 4 0
2 1 0 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 1 0 
1 1 4 0 
1 0 0 0 
0 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(2, 8)(5, 9)
orbits: { 1, 3 }, { 2, 8 }, { 4 }, { 5, 9 }, { 6 }, { 7 }

code no     257:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
4 4 1 0 0 0 0 4 0
4 3 0 1 0 0 0 0 4
the automorphism group has order 12
and is strongly generated by the following 4 elements:
(
1 0 0 0 
4 2 2 0 
4 1 3 0 
0 0 0 1 
, 
2 1 1 0 
0 1 0 0 
2 2 3 0 
1 1 1 1 
, 
0 0 3 0 
4 1 3 0 
2 0 0 0 
4 4 4 4 
, 
0 3 0 0 
4 2 2 0 
2 2 3 0 
4 3 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(5, 9), 
(1, 6)(3, 8)(4, 5), 
(1, 3)(2, 7)(4, 5)(6, 8), 
(1, 6, 2)(3, 7, 8)(4, 5, 9)
orbits: { 1, 6, 3, 2, 8, 7 }, { 4, 5, 9 }

code no     258:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 3 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     259:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 4 1 1 0 0 0 0 4
the automorphism group has order 8
and is strongly generated by the following 2 elements:
(
0 0 0 3 
3 4 0 4 
3 3 3 3 
0 1 0 0 
, 
4 4 4 4 
4 3 2 2 
3 4 0 4 
3 4 4 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 8, 2, 4)(3, 9, 6, 5), 
(1, 5)(2, 9)(3, 8)(4, 6)
orbits: { 1, 4, 5, 2, 6, 8, 9, 3 }, { 7 }

code no     260:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 0 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 3 0 
0 2 0 0 
3 0 0 0 
4 0 4 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(4, 9)(6, 7)
orbits: { 1, 3 }, { 2 }, { 4, 9 }, { 5 }, { 6, 7 }, { 8 }

code no     261:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     262:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
2 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     263:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
0 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 2 0 2 
0 4 3 1 
2 2 2 2 
4 2 2 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 8)(2, 9)(3, 5)(4, 6)
orbits: { 1, 8 }, { 2, 9 }, { 3, 5 }, { 4, 6 }, { 7 }

code no     264:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 0 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
3 4 4 0 
3 2 1 0 
0 0 1 0 
0 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(1, 6)(2, 7)(8, 9)
orbits: { 1, 6 }, { 2, 7 }, { 3 }, { 4 }, { 5 }, { 8, 9 }

code no     265:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
1 2 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 2 0 
0 3 0 0 
2 0 0 0 
2 4 3 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(4, 9)(5, 8)(6, 7)
orbits: { 1, 3 }, { 2 }, { 4, 9 }, { 5, 8 }, { 6, 7 }

code no     266:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
2 1 0 1 0 0 0 4 0
4 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     267:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
1 3 0 1 0 0 0 4 0
2 3 1 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 3 0 0 
2 0 0 0 
3 4 4 0 
4 2 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 6)(4, 8)
orbits: { 1, 2 }, { 3, 6 }, { 4, 8 }, { 5 }, { 7 }, { 9 }

code no     268:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
1 3 0 1 0 0 0 4 0
2 0 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
3 4 4 0 
3 2 1 0 
0 0 1 0 
0 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(1, 6)(2, 7)(8, 9)
orbits: { 1, 6 }, { 2, 7 }, { 3 }, { 4 }, { 5 }, { 8, 9 }

code no     269:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
1 3 0 1 0 0 0 4 0
2 4 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 3 0 0 
2 0 0 0 
3 4 4 0 
4 2 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 6)(4, 8)
orbits: { 1, 2 }, { 3, 6 }, { 4, 8 }, { 5 }, { 7 }, { 9 }

code no     270:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
1 3 0 1 0 0 0 4 0
3 2 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 3 0 0 
2 0 0 0 
3 4 4 0 
4 2 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 6)(4, 8)
orbits: { 1, 2 }, { 3, 6 }, { 4, 8 }, { 5 }, { 7 }, { 9 }

code no     271:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
1 3 0 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 3 0 0 
2 0 0 0 
3 4 4 0 
4 2 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 6)(4, 8)
orbits: { 1, 2 }, { 3, 6 }, { 4, 8 }, { 5 }, { 7 }, { 9 }

code no     272:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
4 3 0 1 0 0 0 4 0
2 3 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
3 0 0 0 
2 1 1 0 
2 3 4 0 
0 0 0 3 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(5, 8)
orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4 }, { 5, 8 }, { 9 }

code no     273:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
3 0 2 1 0 0 0 4 0
2 3 2 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
3 0 0 0 
2 1 1 0 
2 3 4 0 
4 1 4 2 
, 
4 0 0 0 
0 0 3 0 
3 4 4 0 
2 2 2 2 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(3, 7)(4, 9)(5, 8), 
(2, 7, 6, 3)(4, 8, 9, 5)
orbits: { 1 }, { 2, 6, 3, 7 }, { 4, 9, 5, 8 }

code no     274:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 2 1 0 0 0 4 0 0
3 0 2 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 3 0 
0 2 0 0 
3 0 0 0 
4 0 1 3 
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(4, 8)(5, 9)(6, 7)
orbits: { 1, 3 }, { 2 }, { 4, 8 }, { 5, 9 }, { 6, 7 }

code no     275:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 4 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
2 0 1 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
4 0 0 0 
0 4 0 0 
0 0 4 0 
1 1 1 1 
, 
3 0 0 0 
0 0 1 0 
0 4 0 0 
4 1 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9), 
(2, 3)(4, 9, 5, 8)(6, 7)
orbits: { 1 }, { 2, 3 }, { 4, 5, 8, 9 }, { 6, 7 }

code no     276:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 4 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
4 3 1 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     277:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 4 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
4 0 2 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 1 elements:
(
0 1 0 0 
0 0 2 0 
1 3 3 0 
4 1 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(1, 6, 3, 2)(4, 5, 9, 8)
orbits: { 1, 2, 3, 6 }, { 4, 8, 9, 5 }, { 7 }

code no     278:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 4 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
0 4 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 3 0 0 
3 0 0 0 
3 2 3 0 
2 3 0 3 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 7)(4, 8)
orbits: { 1, 2 }, { 3, 7 }, { 4, 8 }, { 5 }, { 6 }, { 9 }

code no     279:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 4 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
3 0 4 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
1 0 0 0 
0 1 0 0 
0 0 1 0 
1 4 0 4 
, 
0 3 0 0 
3 0 0 0 
3 2 3 0 
2 3 0 3 
)
acting on the columns of the generator matrix as follows (in order):
(4, 8)(5, 9), 
(1, 2)(3, 7)(4, 8)
orbits: { 1, 2 }, { 3, 7 }, { 4, 8 }, { 5, 9 }, { 6 }

code no     280:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 4 1 0 0 0 4 0 0
4 1 0 1 0 0 0 4 0
1 2 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 2 0 
2 1 1 0 
3 0 0 0 
4 3 1 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(2, 6)(4, 9)
orbits: { 1, 3 }, { 2, 6 }, { 4, 9 }, { 5 }, { 7 }, { 8 }

code no     281:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 4 1 0 0 0 4 0 0
2 3 0 1 0 0 0 4 0
4 3 1 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
2 0 0 0 
0 2 0 0 
0 0 2 0 
3 3 3 3 
, 
0 2 0 0 
2 0 0 0 
2 3 2 0 
4 1 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(8, 9), 
(1, 2)(3, 7)(4, 8)(5, 9)
orbits: { 1, 2 }, { 3, 7 }, { 4, 5, 8, 9 }, { 6 }

code no     282:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 4 1 0 0 0 4 0 0
2 3 0 1 0 0 0 4 0
3 1 2 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 1 elements:
(
2 0 0 0 
4 1 4 0 
2 1 1 0 
2 3 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6, 3, 7)(4, 5, 9, 8)
orbits: { 1 }, { 2, 7, 3, 6 }, { 4, 8, 9, 5 }

code no     283:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
2 0 1 1 0 0 0 4 0
0 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     284:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
2 0 1 1 0 0 0 4 0
3 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     285:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 0 1 1 0 0 0 4 0
0 3 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 2 3 4 
0 4 0 0 
4 4 4 4 
1 0 2 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 9)(3, 5)(4, 8)(6, 7)
orbits: { 1, 9 }, { 2 }, { 3, 5 }, { 4, 8 }, { 6, 7 }

code no     286:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 0 1 1 0 0 0 4 0
2 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     287:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 0 1 1 0 0 0 4 0
3 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     288:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 0 1 1 0 0 0 4 0
4 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     289:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 0 1 1 0 0 0 4 0
0 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     290:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 0 1 1 0 0 0 4 0
1 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     291:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 0 1 1 0 0 0 4 0
2 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     292:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 0 1 1 0 0 0 4 0
0 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     293:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 0 1 1 0 0 0 4 0
2 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     294:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 0 1 1 0 0 0 4 0
3 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     295:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
4 0 1 1 0 0 0 4 0
2 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     296:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
4 0 1 1 0 0 0 4 0
3 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     297:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
1 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     298:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
2 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     299:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
2 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     300:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
4 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     301:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
1 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     302:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
2 0 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 2 0 
2 1 1 0 
3 0 0 0 
3 4 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(2, 6)(4, 7)(5, 9)
orbits: { 1, 3 }, { 2, 6 }, { 4, 7 }, { 5, 9 }, { 8 }

code no     303:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
0 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     304:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
2 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     305:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
4 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     306:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
1 4 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
1 4 2 1 
0 4 0 0 
0 0 0 2 
0 0 3 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 9)(3, 4)(5, 7)(6, 8)
orbits: { 1, 9 }, { 2 }, { 3, 4 }, { 5, 7 }, { 6, 8 }

code no     307:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
2 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     308:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
1 0 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     309:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
2 0 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     310:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
0 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     311:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
1 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     312:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
3 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     313:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 4 1 1 0 0 0 4 0
1 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     314:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 4 1 1 0 0 0 4 0
3 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     315:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 4 1 1 0 0 0 4 0
1 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     316:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 4 1 1 0 0 0 4 0
2 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     317:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 4 1 1 0 0 0 4 0
1 0 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     318:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
2 4 1 1 0 0 0 4 0
1 0 2 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
0 1 0 0 
4 0 0 0 
1 3 3 0 
1 3 0 3 
, 
0 0 3 0 
3 4 4 0 
0 1 0 0 
3 3 3 3 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 6)(4, 7)(5, 8), 
(1, 6, 2, 3)(4, 8, 7, 5)
orbits: { 1, 2, 3, 6 }, { 4, 7, 5, 8 }, { 9 }

code no     319:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
4 4 1 1 0 0 0 4 0
2 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     320:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
4 4 1 1 0 0 0 4 0
3 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     321:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
4 4 1 1 0 0 0 4 0
4 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     322:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
4 4 1 1 0 0 0 4 0
0 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     323:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
4 4 1 1 0 0 0 4 0
2 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     324:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
4 4 1 1 0 0 0 4 0
1 0 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     325:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
1 0 2 1 0 0 0 4 0
0 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     326:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
1 0 2 1 0 0 0 4 0
3 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     327:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
1 0 2 1 0 0 0 4 0
0 4 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 3 4 
0 0 2 0 
0 3 0 0 
0 4 2 1 
)
acting on the columns of the generator matrix as follows (in order):
(1, 8)(2, 3)(4, 9)(5, 6)
orbits: { 1, 8 }, { 2, 3 }, { 4, 9 }, { 5, 6 }, { 7 }

code no     328:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
1 0 2 1 0 0 0 4 0
2 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     329:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
1 0 2 1 0 0 0 4 0
0 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     330:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
1 0 2 1 0 0 0 4 0
2 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     331:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
1 0 2 1 0 0 0 4 0
3 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     332:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
1 0 2 1 0 0 0 4 0
3 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     333:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
1 0 2 1 0 0 0 4 0
4 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     334:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
2 0 2 1 0 0 0 4 0
1 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     335:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
2 0 2 1 0 0 0 4 0
1 4 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     336:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 0 2 1 0 0 0 4 0
2 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     337:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
3 0 2 1 0 0 0 4 0
4 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     338:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 4 2 1 0 0 0 4 0
1 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     339:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 4 2 1 0 0 0 4 0
3 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     340:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 4 2 1 0 0 0 4 0
4 0 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     341:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 4 2 1 0 0 0 4 0
1 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     342:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
0 4 2 1 0 0 0 4 0
2 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     343:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
1 4 2 1 0 0 0 4 0
3 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     344:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 1 0 1 0 0 4 0 0
2 4 2 1 0 0 0 4 0
1 2 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
0 4 0 0 
0 0 0 4 
0 0 4 0 
)
acting on the columns of the generator matrix as follows (in order):
(3, 4)(6, 7)(8, 9)
orbits: { 1 }, { 2 }, { 3, 4 }, { 5 }, { 6, 7 }, { 8, 9 }

code no     345:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
3 0 1 1 0 0 0 4 0
1 3 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     346:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
3 0 1 1 0 0 0 4 0
4 3 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 3 0 3 
0 0 0 1 
0 0 4 0 
0 1 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 7)(2, 4)(6, 9)
orbits: { 1, 7 }, { 2, 4 }, { 3 }, { 5 }, { 6, 9 }, { 8 }

code no     347:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
1 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     348:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
3 3 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 4 0 0 
1 0 0 0 
4 2 2 0 
0 0 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 6)(5, 8)
orbits: { 1, 2 }, { 3, 6 }, { 4 }, { 5, 8 }, { 7 }, { 9 }

code no     349:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
1 4 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 4 0 0 
1 0 0 0 
4 2 2 0 
0 0 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 6)(5, 8)
orbits: { 1, 2 }, { 3, 6 }, { 4 }, { 5, 8 }, { 7 }, { 9 }

code no     350:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
1 0 3 1 0 0 0 0 4
the automorphism group has order 8
and is strongly generated by the following 3 elements:
(
3 0 0 0 
0 0 3 0 
0 3 0 0 
2 2 2 2 
, 
0 4 0 0 
1 0 0 0 
4 2 2 0 
0 0 0 2 
, 
3 4 4 0 
0 2 0 0 
0 0 2 0 
0 4 3 3 
)
acting on the columns of the generator matrix as follows (in order):
(2, 3)(4, 5)(8, 9), 
(1, 2)(3, 6)(5, 8), 
(1, 6)(4, 8)(5, 9)
orbits: { 1, 2, 6, 3 }, { 4, 5, 8, 9 }, { 7 }

code no     351:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
2 0 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     352:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
2 2 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 4 0 0 
1 0 0 0 
4 2 2 0 
0 0 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 6)(5, 8)
orbits: { 1, 2 }, { 3, 6 }, { 4 }, { 5, 8 }, { 7 }, { 9 }

code no     353:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
3 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 4 0 0 
1 0 0 0 
4 2 2 0 
0 0 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 6)(5, 8)
orbits: { 1, 2 }, { 3, 6 }, { 4 }, { 5, 8 }, { 7 }, { 9 }

code no     354:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
2 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     355:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
4 2 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 4 0 0 
1 0 0 0 
4 2 2 0 
0 0 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 6)(5, 8)
orbits: { 1, 2 }, { 3, 6 }, { 4 }, { 5, 8 }, { 7 }, { 9 }

code no     356:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
0 3 1 1 0 0 0 4 0
2 3 4 1 0 0 0 0 4
the automorphism group has order 6
and is strongly generated by the following 2 elements:
(
0 4 0 0 
1 0 0 0 
4 2 2 0 
0 0 0 2 
, 
0 0 4 0 
4 2 2 0 
0 2 4 4 
3 1 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 6)(5, 8), 
(1, 5, 6, 2, 8, 3)(4, 9, 7)
orbits: { 1, 2, 3, 6, 8, 5 }, { 4, 7, 9 }

code no     357:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
2 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     358:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
1 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     359:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
0 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     360:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
0 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 4 3 3 
0 1 2 4 
2 1 1 0 
4 4 4 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 8)(2, 9)(3, 6)(4, 5)
orbits: { 1, 8 }, { 2, 9 }, { 3, 6 }, { 4, 5 }, { 7 }

code no     361:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
0 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     362:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
3 3 1 1 0 0 0 4 0
4 3 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 3 0 
1 1 2 2 
2 0 0 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(2, 8)(5, 7)(6, 9)
orbits: { 1, 3 }, { 2, 8 }, { 4 }, { 5, 7 }, { 6, 9 }

code no     363:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
4 3 1 1 0 0 0 4 0
4 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     364:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
4 3 1 1 0 0 0 4 0
2 0 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
3 0 0 0 
0 0 3 0 
0 3 0 0 
2 2 2 2 
)
acting on the columns of the generator matrix as follows (in order):
(2, 3)(4, 5)(8, 9)
orbits: { 1 }, { 2, 3 }, { 4, 5 }, { 6 }, { 7 }, { 8, 9 }

code no     365:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
4 3 1 1 0 0 0 4 0
4 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     366:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
4 3 1 1 0 0 0 4 0
0 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
4 0 0 0 
3 1 0 1 
0 0 1 0 
0 0 0 4 
)
acting on the columns of the generator matrix as follows (in order):
(2, 7)(5, 6)(8, 9)
orbits: { 1 }, { 2, 7 }, { 3 }, { 4 }, { 5, 6 }, { 8, 9 }

code no     367:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
4 3 1 1 0 0 0 4 0
2 2 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     368:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
4 3 1 1 0 0 0 4 0
3 2 4 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
2 4 0 4 
0 0 2 0 
0 3 0 0 
3 3 3 3 
, 
0 0 0 3 
2 3 1 4 
3 4 4 0 
4 3 0 3 
)
acting on the columns of the generator matrix as follows (in order):
(1, 7)(2, 3)(4, 5)(6, 9), 
(1, 5, 7, 4)(2, 6, 3, 9)
orbits: { 1, 7, 4, 5 }, { 2, 3, 9, 6 }, { 8 }

code no     369:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
4 3 1 1 0 0 0 4 0
2 3 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     370:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
3 1 0 1 0 0 4 0 0
0 4 2 1 0 0 0 4 0
2 2 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 2 1 3 
0 0 0 1 
4 3 0 3 
0 4 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 8)(2, 4)(3, 7)(5, 9)
orbits: { 1, 8 }, { 2, 4 }, { 3, 7 }, { 5, 9 }, { 6 }

code no     371:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 0 1 0 0 4 0 0
2 2 1 1 0 0 0 4 0
4 0 4 1 0 0 0 0 4
the automorphism group has order 12
and is strongly generated by the following 4 elements:
(
3 0 0 0 
4 2 2 0 
0 0 3 0 
1 1 3 3 
, 
0 4 0 0 
4 0 0 0 
1 2 0 1 
2 1 1 0 
, 
4 4 2 2 
3 3 3 3 
3 1 0 3 
0 0 0 2 
, 
0 0 0 1 
0 1 0 0 
1 0 1 4 
1 0 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(2, 6)(4, 8)(7, 9), 
(1, 2)(3, 7)(4, 6)(5, 8), 
(1, 8)(2, 5)(3, 7), 
(1, 4)(3, 9)(5, 6)
orbits: { 1, 2, 8, 4, 6, 5 }, { 3, 7, 9 }

code no     372:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 0 1 0 0 4 0 0
3 2 1 1 0 0 0 4 0
2 0 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     373:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 0 1 0 0 4 0 0
3 2 1 1 0 0 0 4 0
3 1 2 1 0 0 0 0 4
the automorphism group has order 4
and is strongly generated by the following 1 elements:
(
1 2 0 1 
0 0 2 0 
4 1 3 3 
0 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(1, 6, 9, 7)(2, 5, 8, 3)
orbits: { 1, 7, 9, 6 }, { 2, 3, 8, 5 }, { 4 }

code no     374:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 0 1 0 0 4 0 0
3 2 1 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
3 0 0 0 
1 4 2 2 
0 0 3 0 
4 4 3 1 
)
acting on the columns of the generator matrix as follows (in order):
(2, 8)(4, 9)(6, 7)
orbits: { 1 }, { 2, 8 }, { 3 }, { 4, 9 }, { 5 }, { 6, 7 }

code no     375:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 0 1 0 0 4 0 0
4 4 1 1 0 0 0 4 0
3 1 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     376:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 0 1 0 0 4 0 0
4 4 1 1 0 0 0 4 0
4 0 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     377:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 0 1 0 0 4 0 0
2 0 2 1 0 0 0 4 0
3 1 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
1 0 0 0 
1 1 1 1 
0 0 1 0 
3 0 3 4 
)
acting on the columns of the generator matrix as follows (in order):
(2, 5)(4, 8)(6, 9)
orbits: { 1 }, { 2, 5 }, { 3 }, { 4, 8 }, { 6, 9 }, { 7 }

code no     378:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 0 1 0 0 4 0 0
2 0 2 1 0 0 0 4 0
3 1 4 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
2 4 0 2 
0 0 0 4 
0 0 2 0 
0 1 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 7)(2, 4)(5, 8)(6, 9)
orbits: { 1, 7 }, { 2, 4 }, { 3 }, { 5, 8 }, { 6, 9 }

code no     379:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 0 1 0 0 4 0 0
3 0 2 1 0 0 0 4 0
4 4 2 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     380:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 0 1 0 0 4 0 0
3 0 2 1 0 0 0 4 0
2 2 3 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     381:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 0 1 0 0 4 0 0
3 0 2 1 0 0 0 4 0
3 1 4 1 0 0 0 0 4
the automorphism group has order 1
and is strongly generated by the following 0 elements:
(
)
acting on the columns of the generator matrix as follows (in order):
orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }

code no     382:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 0 1 0 0 4 0 0
3 1 2 1 0 0 0 4 0
3 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 4 0 0 
4 0 0 0 
0 0 0 4 
0 0 4 0 
)
acting on the columns of the generator matrix as follows (in order):
(1, 2)(3, 4)(6, 7)(8, 9)
orbits: { 1, 2 }, { 3, 4 }, { 5 }, { 6, 7 }, { 8, 9 }

code no     383:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 2 0 1 0 0 4 0 0
3 1 2 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
2 4 3 4 
0 3 0 0 
2 2 2 2 
1 1 2 4 
)
acting on the columns of the generator matrix as follows (in order):
(1, 8)(3, 5)(4, 9)
orbits: { 1, 8 }, { 2 }, { 3, 5 }, { 4, 9 }, { 6 }, { 7 }

code no     384:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 2 0 1 0 0 4 0 0
3 2 1 1 0 0 0 4 0
2 1 2 1 0 0 0 0 4
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
3 0 0 0 
0 3 0 0 
3 3 3 3 
4 4 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(3, 5)(4, 7)(6, 8)
orbits: { 1 }, { 2 }, { 3, 5 }, { 4, 7 }, { 6, 8 }, { 9 }

code no     385:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
2 2 0 1 0 0 4 0 0
2 3 2 1 0 0 0 4 0
1 2 4 1 0 0 0 0 4
the automorphism group has order 3
and is strongly generated by the following 1 elements:
(
1 3 3 0 
2 2 0 1 
0 0 0 3 
2 3 2 1 
)
acting on the columns of the generator matrix as follows (in order):
(1, 9, 6)(2, 5, 7)(3, 8, 4)
orbits: { 1, 6, 9 }, { 2, 7, 5 }, { 3, 4, 8 }

code no     386:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 3 0 1 0 0 4 0 0
2 3 1 1 0 0 0 4 0
4 0 4 1 0 0 0 0 4
the automorphism group has order 8
and is strongly generated by the following 3 elements:
(
3 0 0 0 
4 2 0 4 
3 3 3 3 
0 0 0 3 
, 
0 2 0 0 
3 0 0 0 
2 1 1 0 
1 3 0 1 
, 
0 0 0 3 
0 3 0 0 
3 0 3 2 
3 0 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(2, 7)(3, 5)(6, 9), 
(1, 2)(3, 6)(4, 7), 
(1, 4)(3, 9)(5, 6)
orbits: { 1, 2, 4, 7 }, { 3, 5, 6, 9 }, { 8 }

code no     387:
================
1 1 1 1 4 0 0 0 0
2 1 1 0 0 4 0 0 0
1 3 0 1 0 0 4 0 0
3 1 2 1 0 0 0 4 0
4 4 3 1 0 0 0 0 4
the automorphism group has order 12
and is strongly generated by the following 3 elements:
(
1 0 0 0 
2 4 3 4 
0 0 1 0 
0 0 0 1 
, 
0 2 0 0 
3 0 0 0 
2 1 1 0 
1 3 0 1 
, 
0 0 0 4 
2 1 0 2 
0 0 1 0 
4 0 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(2, 8)(5, 6)(7, 9), 
(1, 2)(3, 6)(4, 7), 
(1, 4)(2, 7)(8, 9)
orbits: { 1, 2, 4, 8, 7, 9 }, { 3, 6, 5 }