the 30 isometry classes of irreducible [14,11,4]_16 codes are:

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

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

code no       3:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
14 8 1 0 0 0 0 0 0 0 1 0 0 0
15 9 1 0 0 0 0 0 0 0 0 1 0 0
7 10 1 0 0 0 0 0 0 0 0 0 1 0
10 13 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

code no       4:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
14 8 1 0 0 0 0 0 0 0 1 0 0 0
7 10 1 0 0 0 0 0 0 0 0 1 0 0
6 11 1 0 0 0 0 0 0 0 0 0 1 0
11 12 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

code no       5:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
14 8 1 0 0 0 0 0 0 0 1 0 0 0
7 10 1 0 0 0 0 0 0 0 0 1 0 0
6 11 1 0 0 0 0 0 0 0 0 0 1 0
10 13 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

code no       6:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
14 8 1 0 0 0 0 0 0 0 1 0 0 0
7 10 1 0 0 0 0 0 0 0 0 1 0 0
6 11 1 0 0 0 0 0 0 0 0 0 1 0
4 14 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

code no       7:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
14 8 1 0 0 0 0 0 0 0 1 0 0 0
7 10 1 0 0 0 0 0 0 0 0 1 0 0
6 11 1 0 0 0 0 0 0 0 0 0 1 0
5 15 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

code no       8:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
14 8 1 0 0 0 0 0 0 0 1 0 0 0
7 10 1 0 0 0 0 0 0 0 0 1 0 0
11 12 1 0 0 0 0 0 0 0 0 0 1 0
10 13 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

code no       9:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
14 8 1 0 0 0 0 0 0 0 1 0 0 0
7 10 1 0 0 0 0 0 0 0 0 1 0 0
11 12 1 0 0 0 0 0 0 0 0 0 1 0
4 14 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

code no      10:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
14 8 1 0 0 0 0 0 0 0 1 0 0 0
7 10 1 0 0 0 0 0 0 0 0 1 0 0
11 12 1 0 0 0 0 0 0 0 0 0 1 0
5 15 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

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

code no      12:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
14 8 1 0 0 0 0 0 0 0 1 0 0 0
6 11 1 0 0 0 0 0 0 0 0 1 0 0
11 12 1 0 0 0 0 0 0 0 0 0 1 0
10 13 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

code no      13:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
14 8 1 0 0 0 0 0 0 0 1 0 0 0
6 11 1 0 0 0 0 0 0 0 0 1 0 0
11 12 1 0 0 0 0 0 0 0 0 0 1 0
5 15 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

code no      14:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
14 8 1 0 0 0 0 0 0 0 1 0 0 0
6 11 1 0 0 0 0 0 0 0 0 1 0 0
10 13 1 0 0 0 0 0 0 0 0 0 1 0
4 14 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

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

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

code no      17:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
7 10 1 0 0 0 0 0 0 0 1 0 0 0
6 11 1 0 0 0 0 0 0 0 0 1 0 0
11 12 1 0 0 0 0 0 0 0 0 0 1 0
5 15 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

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

code no      19:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
7 10 1 0 0 0 0 0 0 0 1 0 0 0
11 12 1 0 0 0 0 0 0 0 0 1 0 0
10 13 1 0 0 0 0 0 0 0 0 0 1 0
4 14 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

code no      20:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
7 10 1 0 0 0 0 0 0 0 1 0 0 0
11 12 1 0 0 0 0 0 0 0 0 1 0 0
10 13 1 0 0 0 0 0 0 0 0 0 1 0
5 15 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

code no      21:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
12 7 1 0 0 0 0 0 0 1 0 0 0 0
7 10 1 0 0 0 0 0 0 0 1 0 0 0
10 13 1 0 0 0 0 0 0 0 0 1 0 0
4 14 1 0 0 0 0 0 0 0 0 0 1 0
5 15 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

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

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

code no      24:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
14 8 1 0 0 0 0 0 0 1 0 0 0 0
7 10 1 0 0 0 0 0 0 0 1 0 0 0
6 11 1 0 0 0 0 0 0 0 0 1 0 0
11 12 1 0 0 0 0 0 0 0 0 0 1 0
4 14 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

code no      25:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
14 8 1 0 0 0 0 0 0 1 0 0 0 0
7 10 1 0 0 0 0 0 0 0 1 0 0 0
6 11 1 0 0 0 0 0 0 0 0 1 0 0
11 12 1 0 0 0 0 0 0 0 0 0 1 0
5 15 1 0 0 0 0 0 0 0 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 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 }, { 14 }

code no      26:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
14 8 1 0 0 0 0 0 0 1 0 0 0 0
7 10 1 0 0 0 0 0 0 0 1 0 0 0
11 12 1 0 0 0 0 0 0 0 0 1 0 0
4 14 1 0 0 0 0 0 0 0 0 0 1 0
5 15 1 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
1 10 6 
12 13 2 
2 4 6 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 10)(2, 11)(3, 5)(4, 12)(6, 7)(8, 14)(9, 13)
orbits: { 1, 10 }, { 2, 11 }, { 3, 5 }, { 4, 12 }, { 6, 7 }, { 8, 14 }, { 9, 13 }

code no      27:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
2 3 1 0 0 1 0 0 0 0 0 0 0 0
8 4 1 0 0 0 1 0 0 0 0 0 0 0
9 5 1 0 0 0 0 1 0 0 0 0 0 0
13 6 1 0 0 0 0 0 1 0 0 0 0 0
15 9 1 0 0 0 0 0 0 1 0 0 0 0
7 10 1 0 0 0 0 0 0 0 1 0 0 0
11 12 1 0 0 0 0 0 0 0 0 1 0 0
10 13 1 0 0 0 0 0 0 0 0 0 1 0
5 15 1 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 2
and is strongly generated by the following 1 elements:
(
15 13 11 
7 6 4 
2 6 8 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(1, 8)(2, 12)(3, 11)(4, 5)(6, 10)(7, 13)(9, 14)
orbits: { 1, 8 }, { 2, 12 }, { 3, 11 }, { 4, 5 }, { 6, 10 }, { 7, 13 }, { 9, 14 }

code no      28:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
5 3 1 0 0 1 0 0 0 0 0 0 0 0
2 4 1 0 0 0 1 0 0 0 0 0 0 0
12 5 1 0 0 0 0 1 0 0 0 0 0 0
14 6 1 0 0 0 0 0 1 0 0 0 0 0
10 7 1 0 0 0 0 0 0 1 0 0 0 0
11 8 1 0 0 0 0 0 0 0 1 0 0 0
13 9 1 0 0 0 0 0 0 0 0 1 0 0
9 10 1 0 0 0 0 0 0 0 0 0 1 0
6 11 1 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 8
and is strongly generated by the following 3 elements:
(
12 0 0 
0 13 0 
0 0 14 
, 2
, 
15 15 15 
0 7 0 
1 8 15 
, 0
, 
15 8 1 
0 9 0 
1 1 1 
, 2
)
acting on the columns of the generator matrix as follows (in order):
(4, 6)(7, 14)(8, 11)(9, 12)(10, 13), 
(1, 4)(3, 6)(7, 10)(8, 9)(11, 14)(12, 13), 
(1, 4, 3, 6)(7, 11, 9, 13)(8, 14, 10, 12)
orbits: { 1, 4, 6, 3 }, { 2 }, { 5 }, { 7, 14, 10, 13, 11, 8, 12, 9 }

code no      29:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
5 3 1 0 0 1 0 0 0 0 0 0 0 0
2 4 1 0 0 0 1 0 0 0 0 0 0 0
12 5 1 0 0 0 0 1 0 0 0 0 0 0
14 6 1 0 0 0 0 0 1 0 0 0 0 0
10 7 1 0 0 0 0 0 0 1 0 0 0 0
11 8 1 0 0 0 0 0 0 0 1 0 0 0
13 9 1 0 0 0 0 0 0 0 0 1 0 0
9 10 1 0 0 0 0 0 0 0 0 0 1 0
7 15 1 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 48
and is strongly generated by the following 2 elements:
(
15 0 0 
7 7 7 
9 2 13 
, 3
, 
0 7 0 
10 14 13 
2 0 0 
, 3
)
acting on the columns of the generator matrix as follows (in order):
(2, 12, 10, 4)(3, 8, 6, 13)(9, 11), 
(1, 3, 14, 2)(4, 8, 13, 12)(6, 11, 10, 9)
orbits: { 1, 2, 4, 14, 10, 12, 3, 11, 13, 9, 6, 8 }, { 5 }, { 7 }

code no      30:
================
1 1 1 1 0 0 0 0 0 0 0 0 0 0
3 2 1 0 1 0 0 0 0 0 0 0 0 0
12 3 1 0 0 1 0 0 0 0 0 0 0 0
8 5 1 0 0 0 1 0 0 0 0 0 0 0
15 6 1 0 0 0 0 1 0 0 0 0 0 0
9 7 1 0 0 0 0 0 1 0 0 0 0 0
6 8 1 0 0 0 0 0 0 1 0 0 0 0
4 9 1 0 0 0 0 0 0 0 1 0 0 0
13 10 1 0 0 0 0 0 0 0 0 1 0 0
14 11 1 0 0 0 0 0 0 0 0 0 1 0
11 12 1 0 0 0 0 0 0 0 0 0 0 1
the automorphism group has order 24
and is strongly generated by the following 5 elements:
(
7 0 0 
2 10 9 
0 0 6 
, 2
, 
2 5 14 
0 13 0 
6 12 10 
, 2
, 
5 8 9 
12 11 13 
14 14 14 
, 0
, 
11 5 14 
6 13 12 
3 12 10 
, 0
, 
5 8 14 
11 14 10 
14 11 4 
, 3
)
acting on the columns of the generator matrix as follows (in order):
(2, 7)(4, 5)(6, 13)(9, 10)(11, 14), 
(1, 11)(3, 5)(7, 12)(8, 13)(9, 10), 
(1, 11, 14)(2, 12, 7)(3, 5, 4)(6, 8, 13), 
(1, 5)(2, 6)(3, 11)(4, 14)(7, 8)(9, 10)(12, 13), 
(1, 7, 3, 13)(2, 4, 6, 14)(5, 8, 11, 12)
orbits: { 1, 11, 14, 5, 13, 3, 8, 4, 6, 12, 7, 2 }, { 9, 10 }