the 9 isometry classes of irreducible [25,20,3]_2 codes are:

code no       1:
================
1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 768
and is strongly generated by the following 8 elements:
(
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 0 1 0 
1 1 1 0 1 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 1 1 0 1 
0 1 1 1 0 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
1 0 1 0 1 
1 0 1 1 0 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 1 0 1 
0 0 1 1 0 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 1 1 0 
0 0 1 0 1 
, 
1 0 0 0 0 
1 1 0 0 0 
1 0 1 0 0 
0 0 0 1 0 
0 0 0 0 1 
, 
1 0 0 0 0 
0 0 1 0 0 
0 1 0 0 0 
0 0 0 1 0 
0 0 0 0 1 
, 
1 1 0 0 0 
0 1 1 0 0 
0 1 0 0 0 
0 0 0 1 0 
0 0 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(5, 24)(6, 25)(18, 23)(19, 22)(20, 21), 
(4, 23)(5, 16)(11, 24)(12, 21)(13, 22)(14, 19)(15, 20)(17, 18), 
(4, 22)(5, 15)(11, 21)(12, 24)(13, 23)(14, 18)(16, 20)(17, 19), 
(4, 21)(5, 14)(11, 22)(12, 23)(13, 24)(15, 18)(16, 19)(17, 20), 
(4, 14)(5, 21)(11, 15)(12, 16)(13, 17)(18, 22)(19, 23)(20, 24), 
(2, 7)(3, 8)(12, 13)(14, 15)(19, 20)(21, 22), 
(2, 3)(7, 8)(12, 14)(13, 15)(19, 21)(20, 22), 
(1, 8, 7)(2, 3, 9)(11, 15, 13)(12, 14, 16)(18, 22, 20)(19, 21, 23)
orbits: { 1, 7, 2, 8, 3, 9 }, { 4, 23, 22, 21, 14, 18, 13, 12, 19, 11, 20, 5, 15, 17, 24, 16 }, { 6, 25 }, { 10 }

code no       2:
================
1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 48
and is strongly generated by the following 6 elements:
(
1 0 0 0 0 
0 1 0 0 0 
1 0 1 0 0 
0 0 0 1 0 
1 0 0 0 1 
, 
1 0 0 0 0 
1 0 1 0 0 
1 1 0 0 0 
0 0 0 1 0 
0 0 0 0 1 
, 
1 0 0 0 0 
1 1 0 0 0 
1 0 1 0 0 
0 0 0 1 0 
0 0 0 0 1 
, 
1 0 0 0 0 
0 1 0 1 0 
0 0 1 1 0 
0 0 0 1 0 
1 0 0 1 1 
, 
0 1 1 0 0 
0 1 0 0 0 
1 1 0 0 0 
1 1 1 1 0 
0 0 0 0 1 
, 
1 1 1 0 0 
0 0 1 0 0 
0 1 0 0 0 
0 1 1 1 0 
0 1 1 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(3, 8)(5, 18)(9, 10)(14, 15)(16, 17)(19, 20)(24, 25), 
(2, 8)(3, 7)(12, 15)(13, 14)(19, 22)(20, 21), 
(2, 7)(3, 8)(12, 13)(14, 15)(19, 20)(21, 22), 
(2, 12)(3, 14)(5, 25)(6, 23)(7, 13)(8, 15)(18, 24)(19, 20)(21, 22), 
(1, 9)(3, 7)(4, 17)(6, 24)(12, 15)(18, 23)(20, 21), 
(1, 10)(2, 3)(4, 16)(5, 23)(6, 25)(13, 15)(20, 22)
orbits: { 1, 9, 10 }, { 2, 8, 7, 12, 3, 15, 13, 14 }, { 4, 17, 16 }, { 5, 18, 25, 23, 24, 6 }, { 11 }, { 19, 20, 22, 21 }

code no       3:
================
1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 720
and is strongly generated by the following 7 elements:
(
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
1 0 0 1 0 
1 0 0 0 1 
, 
1 0 0 0 0 
0 1 0 0 0 
0 1 1 0 0 
1 0 0 1 0 
1 1 0 0 1 
, 
1 0 0 0 0 
0 1 0 0 0 
1 1 1 0 0 
1 1 0 1 0 
1 1 0 0 1 
, 
1 0 0 0 0 
1 0 1 0 0 
1 1 0 0 0 
1 1 1 1 0 
0 0 0 0 1 
, 
1 0 0 0 0 
1 1 1 0 0 
1 1 0 0 0 
0 0 1 1 0 
1 1 0 0 1 
, 
1 0 1 0 0 
1 1 0 1 0 
0 0 1 0 0 
1 0 0 1 0 
1 0 0 0 1 
, 
1 0 1 1 0 
0 0 1 0 0 
0 1 1 1 0 
0 0 0 1 0 
0 0 1 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 11)(5, 18)(12, 13)(14, 15)(16, 17)(19, 20)(21, 22), 
(3, 9)(4, 11)(5, 20)(8, 10)(12, 13)(14, 17)(15, 16)(18, 19)(21, 22)(23, 24), 
(3, 10)(4, 13)(5, 20)(6, 25)(8, 9)(11, 12)(18, 19), 
(2, 8)(3, 7)(4, 17)(6, 23)(11, 16)(19, 22)(20, 21), 
(2, 8, 10)(3, 9, 7)(4, 16, 15, 11, 17, 14)(5, 21, 19, 18, 22, 20)(6, 23, 24)(12, 13), 
(1, 8)(2, 12, 10, 13)(4, 15, 14, 11)(5, 22, 21, 18)(6, 20, 24, 19)(7, 17, 9, 16), 
(1, 13, 15)(2, 16, 3)(5, 24, 25)(6, 22, 20)(7, 8, 11)(9, 14, 12)(19, 21, 23)
orbits: { 1, 8, 15, 10, 9, 2, 7, 14, 16, 4, 13, 3, 12, 17, 11 }, { 5, 18, 20, 25, 19, 21, 22, 6, 24, 23 }

code no       4:
================
1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 120
and is strongly generated by the following 5 elements:
(
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 0 0 1 
0 0 0 1 0 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 0 1 0 
0 0 1 0 0 
0 0 0 0 1 
, 
1 0 0 0 0 
1 1 0 1 0 
1 0 1 1 0 
1 0 0 1 1 
0 0 0 1 0 
, 
1 0 0 0 0 
1 1 1 0 0 
1 0 1 1 0 
1 0 1 0 1 
0 0 1 0 0 
, 
1 1 1 0 0 
1 1 0 1 0 
1 0 1 1 0 
1 1 1 1 1 
0 1 1 1 0 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(11, 17)(12, 18)(13, 19)(14, 20)(15, 21)(16, 22), 
(3, 4)(8, 11)(9, 12)(10, 13)(20, 23)(21, 24)(22, 25), 
(2, 19, 13)(3, 21, 15)(4, 5, 24)(6, 16, 22)(7, 18, 12)(8, 20, 14)(11, 17, 23), 
(2, 19, 13, 10)(3, 5, 24, 15)(4, 21)(6, 16, 22, 25)(7, 18, 12, 9)(8, 17, 23, 14)(11, 20), 
(1, 10)(2, 19, 13)(3, 21, 15)(4, 22, 24, 16, 5, 6)(7, 20, 12, 8, 18, 14)(11, 17, 23)
orbits: { 1, 10, 13, 19, 2 }, { 3, 4, 15, 5, 24, 21, 6, 16, 22, 25 }, { 7, 12, 9, 14, 18, 20, 23, 8, 11, 17 }

code no       5:
================
1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 36
and is strongly generated by the following 4 elements:
(
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 0 0 1 
0 0 0 1 0 
, 
1 0 0 0 0 
0 1 0 0 0 
1 1 0 0 1 
1 1 1 0 0 
0 0 0 1 0 
, 
1 0 0 0 0 
1 1 0 0 0 
0 1 0 1 0 
1 1 1 0 0 
0 0 0 0 1 
, 
0 1 0 0 0 
1 0 0 0 0 
0 0 1 0 0 
0 0 0 1 0 
0 0 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(11, 17)(12, 18)(13, 19)(14, 20)(15, 21)(16, 22), 
(3, 13, 19)(4, 5, 10)(8, 12, 18)(9, 11, 17)(14, 25, 20)(15, 24, 21)(16, 23, 22), 
(2, 7)(3, 12)(4, 10)(8, 13)(9, 11)(14, 15)(18, 19)(20, 24)(21, 25)(22, 23), 
(1, 2)(8, 9)(11, 12)(15, 16)(17, 18)(21, 22)(23, 24)
orbits: { 1, 2, 7 }, { 3, 19, 12, 13, 18, 8, 11, 17, 9 }, { 4, 5, 10 }, { 6 }, { 14, 20, 15, 25, 24, 21, 16, 23, 22 }

code no       6:
================
1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 192
and is strongly generated by the following 6 elements:
(
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 0 0 1 
0 0 0 1 0 
, 
1 0 0 0 0 
0 1 0 0 0 
1 1 1 0 0 
1 1 0 1 0 
1 1 0 0 1 
, 
1 0 0 0 0 
1 1 1 0 0 
0 0 1 0 0 
1 0 1 1 0 
1 0 1 0 1 
, 
1 1 1 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 1 1 1 0 
0 1 1 0 1 
, 
1 0 1 1 0 
0 1 1 1 0 
1 1 0 1 0 
1 1 1 1 1 
1 1 1 0 0 
, 
1 1 0 1 0 
1 0 1 1 0 
0 0 0 1 0 
1 0 0 1 1 
1 0 0 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(4, 5)(11, 17)(12, 18)(13, 19)(14, 20)(15, 21)(16, 22), 
(3, 10)(4, 13)(5, 19)(6, 25)(8, 9)(11, 12)(17, 18), 
(2, 10)(4, 15)(5, 21)(6, 24)(7, 9)(11, 14)(17, 20), 
(1, 10)(4, 16)(5, 22)(6, 23)(7, 8)(12, 14)(18, 20), 
(1, 21, 23, 15)(2, 22, 24, 16)(3, 19, 25, 13)(4, 10, 5, 6)(8, 9)(11, 18)(12, 17)(14, 20), 
(1, 5, 25, 16, 10, 19, 23, 4, 3, 22, 6, 13)(2, 21, 24, 15)(7, 8, 9)(11, 20, 12, 17, 14, 18)
orbits: { 1, 10, 15, 13, 3, 2, 4, 16, 21, 23, 24, 19, 25, 6, 5, 22 }, { 7, 9, 8 }, { 11, 17, 12, 14, 18, 20 }

code no       7:
================
1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 128
and is strongly generated by the following 6 elements:
(
1 0 0 0 0 
0 1 0 0 0 
0 1 0 1 0 
0 1 1 0 0 
0 0 0 0 1 
, 
1 0 0 0 0 
0 1 0 0 0 
1 0 1 0 0 
1 0 0 1 0 
0 0 0 0 1 
, 
1 0 0 0 0 
0 0 1 1 0 
1 1 0 1 0 
1 0 0 1 0 
0 0 0 0 1 
, 
1 0 0 0 0 
1 1 0 1 0 
1 0 1 1 0 
0 0 0 1 0 
0 0 0 0 1 
, 
1 0 0 0 0 
0 0 1 1 1 
0 1 0 1 1 
0 0 0 1 0 
0 0 0 0 1 
, 
0 1 1 1 0 
1 0 1 1 0 
0 0 1 0 0 
0 0 0 1 0 
1 1 1 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(3, 12)(4, 9)(8, 13)(10, 11)(20, 22)(21, 23), 
(3, 8)(4, 11)(9, 10)(12, 13)(20, 21)(22, 23), 
(2, 14)(3, 13)(4, 11)(7, 15)(8, 12)(9, 10)(18, 24)(19, 25)(20, 23)(21, 22), 
(2, 13)(3, 15)(7, 12)(8, 14)(18, 23)(19, 22)(20, 25)(21, 24), 
(2, 24)(3, 22)(7, 25)(8, 23)(12, 20)(13, 21)(14, 18)(15, 19), 
(1, 16)(2, 15)(5, 6)(8, 12)(9, 11)(19, 24)(20, 23)
orbits: { 1, 16 }, { 2, 14, 13, 24, 15, 8, 18, 12, 3, 21, 19, 7, 23, 20, 22, 25 }, { 4, 9, 11, 10 }, { 5, 6 }, { 17 }

code no       8:
================
1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 9216
and is strongly generated by the following 9 elements:
(
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 0 1 0 
1 0 0 0 1 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 0 1 0 
0 1 1 1 1 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
1 0 0 0 1 
1 0 0 1 0 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
1 0 0 1 0 
1 0 0 0 1 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
1 1 1 1 1 
1 0 0 1 0 
, 
1 0 0 0 0 
0 1 0 0 0 
1 1 0 0 1 
1 0 0 1 0 
0 1 1 0 0 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 0 1 0 
1 0 1 0 0 
1 0 1 1 1 
, 
1 0 0 0 0 
0 1 0 0 1 
0 0 1 0 1 
1 0 0 0 1 
1 0 0 1 0 
, 
1 0 0 0 0 
0 1 1 1 1 
0 1 0 0 0 
1 0 1 0 0 
0 1 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(5, 16)(6, 25)(17, 18)(19, 20)(21, 22)(23, 24), 
(5, 25)(6, 16)(17, 23)(18, 24)(19, 21)(20, 22), 
(4, 16)(5, 11)(12, 18)(13, 17)(14, 20)(15, 19), 
(4, 11)(5, 16)(12, 13)(14, 15)(17, 18)(19, 20), 
(4, 16, 6)(5, 25, 11)(12, 18, 24)(13, 17, 23)(14, 20, 22)(15, 19, 21), 
(3, 17, 8, 18)(4, 11)(5, 10, 16, 9)(12, 13)(14, 22, 15, 21)(19, 20), 
(3, 11, 8, 4)(5, 23, 16, 24)(6, 17, 25, 18)(9, 13, 10, 12)(14, 15)(19, 20), 
(2, 13, 22, 17)(3, 15, 24, 19)(4, 16)(5, 11)(7, 12, 21, 18)(8, 14, 23, 20), 
(2, 3, 11, 21, 13, 25)(4, 22, 12, 6, 7, 8)(5, 19, 24, 10, 14, 17)(9, 15, 18, 16, 20, 23)
orbits: { 1 }, { 2, 17, 25, 18, 23, 13, 3, 6, 22, 14, 5, 24, 12, 8, 21, 15, 20, 9, 4, 19, 16, 10, 11, 7 }

code no       9:
================
1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 1152
and is strongly generated by the following 6 elements:
(
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
1 0 0 1 0 
0 1 0 0 1 
, 
1 0 0 0 0 
0 1 0 0 0 
1 1 1 0 0 
0 1 0 1 0 
1 0 0 0 1 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 0 0 1 
1 0 1 1 1 
0 1 1 0 0 
, 
1 0 0 0 0 
0 1 0 0 0 
0 1 1 1 1 
0 1 0 0 1 
0 1 0 1 0 
, 
1 0 0 0 0 
1 0 1 1 0 
1 1 0 1 0 
0 0 0 1 0 
0 0 0 0 1 
, 
0 0 0 1 1 
1 1 0 1 1 
1 1 1 0 0 
1 1 0 0 1 
1 0 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(4, 11)(5, 17)(6, 23)(12, 13)(14, 15)(16, 18)(19, 20)(21, 22)(24, 25), 
(3, 10)(4, 12)(5, 16)(8, 9)(11, 13)(14, 15)(17, 18)(19, 20)(21, 22), 
(3, 17, 9, 5)(4, 6, 12, 24)(8, 18, 10, 16)(11, 25, 13, 23)(14, 15)(19, 20)(21, 22), 
(3, 25)(4, 17)(5, 12)(6, 8)(9, 23)(10, 24)(11, 18)(13, 16), 
(2, 15)(3, 13)(7, 14)(8, 12)(17, 24)(18, 23)(19, 22), 
(1, 22, 2, 21)(3, 10)(4, 12, 17, 18)(5, 13, 11, 16)(6, 8, 23, 9)(14, 15, 20, 19)
orbits: { 1, 21, 22, 2, 19, 15, 20, 14, 7 }, { 3, 10, 5, 25, 13, 18, 24, 17, 16, 9, 12, 11, 8, 23, 4, 6 }