the 125 isometry classes of irreducible [7,4,4]_16 codes are:

code no       1:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
2 3 1 0 0 1 0
8 4 1 0 0 0 1
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 }

code no       2:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
2 3 1 0 0 1 0
9 4 1 0 0 0 1
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 }

code no       3:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
2 3 1 0 0 1 0
11 4 1 0 0 0 1
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 }

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

code no       5:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
2 4 1 0 0 0 1
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 }

code no       6:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
9 4 1 0 0 0 1
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 }

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

code no       8:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
11 4 1 0 0 0 1
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 }

code no       9:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
12 4 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
12 1 13 
0 7 0 
2 13 14 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 5)(3, 6)(4, 7)
orbits: { 1, 5 }, { 2 }, { 3, 6 }, { 4, 7 }

code no      10:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
13 4 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
15 15 15 
6 12 10 
4 3 5 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 4)(2, 5)(3, 6)
orbits: { 1, 4 }, { 2, 5 }, { 3, 6 }, { 7 }

code no      11:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
14 4 1 0 0 0 1
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 }

code no      12:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
15 4 1 0 0 0 1
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 }

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

code no      14:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
7 5 1 0 0 0 1
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 }

code no      15:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
8 5 1 0 0 0 1
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 }

code no      16:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
9 5 1 0 0 0 1
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 }

code no      17:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
10 5 1 0 0 0 1
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 }

code no      18:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
13 5 1 0 0 0 1
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 }

code no      19:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
7 6 1 0 0 0 1
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 }

code no      20:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
9 6 1 0 0 0 1
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 }

code no      21:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
10 6 1 0 0 0 1
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 }

code no      22:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
13 6 1 0 0 0 1
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 }

code no      23:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
14 6 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
15 15 15 
6 12 10 
4 3 5 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 4)(2, 5)(3, 6)
orbits: { 1, 4 }, { 2, 5 }, { 3, 6 }, { 7 }

code no      24:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
15 6 1 0 0 0 1
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 }

code no      25:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
12 7 1 0 0 0 1
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 }

code no      26:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
13 7 1 0 0 0 1
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 }

code no      27:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
15 7 1 0 0 0 1
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 }

code no      28:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
5 8 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
15 15 15 
6 12 10 
4 3 5 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 4)(2, 5)(3, 6)
orbits: { 1, 4 }, { 2, 5 }, { 3, 6 }, { 7 }

code no      29:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
10 8 1 0 0 0 1
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 }

code no      30:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
11 8 1 0 0 0 1
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 }

code no      31:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
7 9 1 0 0 0 1
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 }

code no      32:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
8 9 1 0 0 0 1
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 }

code no      33:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
10 9 1 0 0 0 1
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 }

code no      34:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
11 9 1 0 0 0 1
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 }

code no      35:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
13 9 1 0 0 0 1
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 }

code no      36:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
2 10 1 0 0 0 1
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 }

code no      37:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
12 10 1 0 0 0 1
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 }

code no      38:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
14 10 1 0 0 0 1
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 }

code no      39:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
5 11 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 14 
14 14 14 
14 0 0 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(2, 4)(6, 7)
orbits: { 1, 3 }, { 2, 4 }, { 5 }, { 6, 7 }

code no      40:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
5 12 1 0 0 0 1
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
1 0 0 
1 1 1 
0 0 1 
, 2
, 
1 0 0 
10 1 15 
0 0 11 
, 3
)
acting on the columns of the generator matrix as follows (in order):
(2, 4)(6, 7), 
(2, 7, 4, 6)
orbits: { 1 }, { 2, 4, 6, 7 }, { 3 }, { 5 }

code no      41:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
7 12 1 0 0 0 1
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 }

code no      42:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
4 3 1 0 0 1 0
10 13 1 0 0 0 1
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 }

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

code no      44:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
5 3 1 0 0 1 0
9 4 1 0 0 0 1
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 }

code no      45:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
5 3 1 0 0 1 0
15 4 1 0 0 0 1
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 }

code no      46:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
5 3 1 0 0 1 0
6 5 1 0 0 0 1
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 }

code no      47:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
5 3 1 0 0 1 0
7 5 1 0 0 0 1
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 }

code no      48:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
5 3 1 0 0 1 0
10 5 1 0 0 0 1
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 }

code no      49:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
5 3 1 0 0 1 0
9 6 1 0 0 0 1
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 }

code no      50:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
5 3 1 0 0 1 0
8 12 1 0 0 0 1
the automorphism group has order 8
and is strongly generated by the following 2 elements:
(
3 0 0 
5 7 1 
0 0 3 
, 1
, 
0 0 14 
0 14 0 
14 0 0 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(2, 6, 4, 7), 
(1, 3)
orbits: { 1, 3 }, { 2, 7, 4, 6 }, { 5 }

code no      51:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
9 4 1 0 0 0 1
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 }

code no      52:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
11 4 1 0 0 0 1
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 }

code no      53:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
12 4 1 0 0 0 1
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 }

code no      54:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
14 4 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
7 6 11 
0 5 0 
11 2 6 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 7)(3, 6)(4, 5)
orbits: { 1, 7 }, { 2 }, { 3, 6 }, { 4, 5 }

code no      55:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
15 4 1 0 0 0 1
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 }

code no      56:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
4 5 1 0 0 0 1
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 }

code no      57:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
7 5 1 0 0 0 1
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 }

code no      58:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
8 5 1 0 0 0 1
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 }

code no      59:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
9 5 1 0 0 0 1
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 }

code no      60:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
12 5 1 0 0 0 1
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 }

code no      61:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
4 6 1 0 0 0 1
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 }

code no      62:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
10 6 1 0 0 0 1
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 }

code no      63:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
13 6 1 0 0 0 1
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 }

code no      64:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
15 6 1 0 0 0 1
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 }

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

code no      66:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
4 7 1 0 0 0 1
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 }

code no      67:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
9 7 1 0 0 0 1
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 }

code no      68:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
10 7 1 0 0 0 1
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 }

code no      69:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
12 7 1 0 0 0 1
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 }

code no      70:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
13 7 1 0 0 0 1
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 }

code no      71:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
15 7 1 0 0 0 1
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 }

code no      72:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
2 8 1 0 0 0 1
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 }

code no      73:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
4 8 1 0 0 0 1
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 }

code no      74:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
7 8 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 14 
14 14 14 
14 0 0 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(2, 4)(6, 7)
orbits: { 1, 3 }, { 2, 4 }, { 5 }, { 6, 7 }

code no      75:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
13 8 1 0 0 0 1
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 }

code no      76:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
5 9 1 0 0 0 1
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 }

code no      77:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
7 9 1 0 0 0 1
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 }

code no      78:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
8 9 1 0 0 0 1
the automorphism group has order 6
and is strongly generated by the following 2 elements:
(
15 15 15 
4 15 11 
0 15 0 
, 0
, 
10 13 7 
13 0 0 
7 13 10 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 7, 4)(2, 3, 5), 
(1, 2, 7, 3, 4, 5)
orbits: { 1, 4, 5, 7, 3, 2 }, { 6 }

code no      79:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
10 9 1 0 0 0 1
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 }

code no      80:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
5 10 1 0 0 0 1
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 }

code no      81:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
9 10 1 0 0 0 1
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 }

code no      82:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
14 10 1 0 0 0 1
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 }

code no      83:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
7 11 1 0 0 0 1
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 }

code no      84:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
9 11 1 0 0 0 1
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 }

code no      85:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
12 11 1 0 0 0 1
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 }

code no      86:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
4 12 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
15 0 0 
15 15 15 
0 0 15 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(2, 4)(6, 7)
orbits: { 1 }, { 2, 4 }, { 3 }, { 5 }, { 6, 7 }

code no      87:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
14 12 1 0 0 0 1
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 }

code no      88:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
4 13 1 0 0 0 1
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 }

code no      89:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
5 13 1 0 0 0 1
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 }

code no      90:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
11 13 1 0 0 0 1
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 }

code no      91:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
12 13 1 0 0 0 1
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 }

code no      92:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
14 13 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 12 
0 12 0 
12 0 0 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(6, 7)
orbits: { 1, 3 }, { 2 }, { 4 }, { 5 }, { 6, 7 }

code no      93:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
4 14 1 0 0 0 1
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 }

code no      94:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
7 14 1 0 0 0 1
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 }

code no      95:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
6 3 1 0 0 1 0
11 15 1 0 0 0 1
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 }

code no      96:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
9 4 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
14 14 14 
8 14 11 
0 0 5 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 4)(2, 6)(5, 7)
orbits: { 1, 4 }, { 2, 6 }, { 3 }, { 5, 7 }

code no      97:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
12 5 1 0 0 0 1
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
6 6 6 
8 6 7 
0 0 1 
, 2
, 
0 13 0 
2 2 2 
0 0 10 
, 3
)
acting on the columns of the generator matrix as follows (in order):
(1, 4)(2, 7), 
(1, 7, 4, 2)
orbits: { 1, 4, 2, 7 }, { 3 }, { 5 }, { 6 }

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

code no      99:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
4 8 1 0 0 0 1
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 }

code no     100:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
5 8 1 0 0 0 1
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 }

code no     101:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
10 8 1 0 0 0 1
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 }

code no     102:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
5 9 1 0 0 0 1
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 }

code no     103:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
11 9 1 0 0 0 1
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 }

code no     104:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
15 9 1 0 0 0 1
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 }

code no     105:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
12 10 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 14 
14 14 14 
14 0 0 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(2, 4)(6, 7)
orbits: { 1, 3 }, { 2, 4 }, { 5 }, { 6, 7 }

code no     106:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
2 13 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
2 11 9 
12 5 6 
14 14 14 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 5)(2, 7)(3, 4)
orbits: { 1, 5 }, { 2, 7 }, { 3, 4 }, { 6 }

code no     107:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
6 13 1 0 0 0 1
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 }

code no     108:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
11 13 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
2 2 2 
0 0 2 
0 2 0 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 4)(2, 3)(6, 7)
orbits: { 1, 4 }, { 2, 3 }, { 5 }, { 6, 7 }

code no     109:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
4 14 1 0 0 0 1
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 }

code no     110:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
7 3 1 0 0 1 0
6 14 1 0 0 0 1
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 }

code no     111:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
8 3 1 0 0 1 0
15 4 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
14 4 11 
14 14 14 
0 0 5 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 6)(2, 4)(5, 7)
orbits: { 1, 6 }, { 2, 4 }, { 3 }, { 5, 7 }

code no     112:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
8 3 1 0 0 1 0
10 7 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
7 7 7 
0 12 0 
4 11 7 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 4)(3, 7)
orbits: { 1, 4 }, { 2 }, { 3, 7 }, { 5 }, { 6 }

code no     113:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
8 3 1 0 0 1 0
11 8 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
12 12 12 
11 12 4 
0 0 8 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 4)(2, 6)(5, 7)
orbits: { 1, 4 }, { 2, 6 }, { 3 }, { 5, 7 }

code no     114:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
9 3 1 0 0 1 0
12 5 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
1 9 8 
0 12 0 
9 3 1 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 5)(3, 6)(4, 7)
orbits: { 1, 5 }, { 2 }, { 3, 6 }, { 4, 7 }

code no     115:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
9 3 1 0 0 1 0
4 8 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
13 9 7 
0 12 0 
14 3 13 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 6)(3, 5)(4, 7)
orbits: { 1, 6 }, { 2 }, { 3, 5 }, { 4, 7 }

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

code no     117:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
9 3 1 0 0 1 0
11 10 1 0 0 0 1
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 }

code no     118:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
11 3 1 0 0 1 0
6 5 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
0 0 14 
14 14 14 
14 0 0 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 3)(2, 4)(6, 7)
orbits: { 1, 3 }, { 2, 4 }, { 5 }, { 6, 7 }

code no     119:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
12 3 1 0 0 1 0
8 5 1 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
12 11 13 
0 7 0 
12 12 12 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(1, 7)(3, 4)(5, 6)
orbits: { 1, 7 }, { 2 }, { 3, 4 }, { 5, 6 }

code no     120:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
12 3 1 0 0 1 0
9 7 1 0 0 0 1
the automorphism group has order 4
and is strongly generated by the following 2 elements:
(
15 5 4 
0 2 0 
11 8 15 
, 0
, 
0 0 6 
0 6 0 
6 0 0 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 7)(3, 6)(4, 5), 
(1, 3)(6, 7)
orbits: { 1, 7, 3, 6 }, { 2 }, { 4, 5 }

code no     121:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
12 3 1 0 0 1 0
6 8 1 0 0 0 1
the automorphism group has order 6
and is strongly generated by the following 1 elements:
(
7 3 1 
7 14 9 
0 0 8 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 5, 2, 4, 6, 7)
orbits: { 1, 7, 6, 4, 2, 5 }, { 3 }

code no     122:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
12 3 1 0 0 1 0
4 9 1 0 0 0 1
the automorphism group has order 4
and is strongly generated by the following 1 elements:
(
2 5 7 
7 7 7 
5 0 0 
, 3
)
acting on the columns of the generator matrix as follows (in order):
(1, 3, 7, 5)(2, 4)
orbits: { 1, 5, 7, 3 }, { 2, 4 }, { 6 }

code no     123:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
8 5 1 0 0 1 0
15 6 1 0 0 0 1
the automorphism group has order 40
and is strongly generated by the following 4 elements:
(
7 0 0 
0 8 0 
0 0 9 
, 1
, 
7 0 0 
8 8 8 
0 0 9 
, 3
, 
15 0 0 
12 3 11 
0 0 8 
, 2
, 
0 0 5 
0 5 0 
5 0 0 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(4, 5, 6, 7), 
(2, 5, 6, 4), 
(2, 7)(5, 6), 
(1, 3)
orbits: { 1, 3 }, { 2, 4, 7, 6, 5 }

code no     124:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
12 5 1 0 0 1 0
14 6 1 0 0 0 1
the automorphism group has order 20
and is strongly generated by the following 4 elements:
(
15 0 0 
15 15 15 
0 0 15 
, 2
, 
5 0 0 
12 5 10 
0 0 9 
, 1
, 
4 7 10 
4 0 0 
0 0 10 
, 1
, 
11 1 9 
10 0 0 
0 0 8 
, 3
)
acting on the columns of the generator matrix as follows (in order):
(2, 4)(6, 7), 
(2, 6, 4, 7), 
(1, 2, 4, 6), 
(1, 2, 6, 7)
orbits: { 1, 6, 7, 2, 4 }, { 3 }, { 5 }

code no     125:
================
1 1 1 1 0 0 0
3 2 1 0 1 0 0
12 5 1 0 0 1 0
9 10 1 0 0 0 1
the automorphism group has order 12
and is strongly generated by the following 3 elements:
(
5 0 0 
7 2 15 
2 2 2 
, 2
, 
6 6 6 
8 6 7 
0 0 1 
, 2
, 
7 6 8 
2 2 2 
5 9 10 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(2, 7)(3, 4), 
(1, 4)(2, 6), 
(1, 7)(2, 4)(3, 6)
orbits: { 1, 4, 7, 3, 2, 6 }, { 5 }