the 1 isometry classes of irreducible [8,1,8]_2 codes are:

code no       1:
================
1 1 1 1 1 1 1 1
the automorphism group has order 40320
and is strongly generated by the following 10 elements:
(
1 0 0 0 0 0 0 
0 1 0 0 0 0 0 
0 0 1 0 0 0 0 
0 0 0 1 0 0 0 
0 0 0 0 1 0 0 
0 0 0 0 0 1 0 
1 1 1 1 1 1 1 
, 
1 0 0 0 0 0 0 
0 1 0 0 0 0 0 
0 0 1 0 0 0 0 
0 0 0 1 0 0 0 
0 0 0 0 1 0 0 
0 0 0 0 0 0 1 
0 0 0 0 0 1 0 
, 
1 0 0 0 0 0 0 
0 1 0 0 0 0 0 
0 0 1 0 0 0 0 
0 0 0 1 0 0 0 
0 0 0 0 0 0 1 
0 0 0 0 0 1 0 
0 0 0 0 1 0 0 
, 
1 0 0 0 0 0 0 
0 1 0 0 0 0 0 
0 0 1 0 0 0 0 
0 0 0 1 0 0 0 
1 1 1 1 1 1 1 
0 0 0 0 0 1 0 
0 0 0 0 1 0 0 
, 
1 0 0 0 0 0 0 
0 1 0 0 0 0 0 
0 0 1 0 0 0 0 
0 0 0 0 1 0 0 
0 0 0 0 0 1 0 
0 0 0 0 0 0 1 
0 0 0 1 0 0 0 
, 
1 0 0 0 0 0 0 
0 1 0 0 0 0 0 
0 0 0 1 0 0 0 
0 0 0 0 1 0 0 
0 0 1 0 0 0 0 
0 0 0 0 0 1 0 
0 0 0 0 0 0 1 
, 
1 0 0 0 0 0 0 
0 1 0 0 0 0 0 
1 1 1 1 1 1 1 
0 0 0 1 0 0 0 
0 0 0 0 0 0 1 
0 0 0 0 1 0 0 
0 0 0 0 0 1 0 
, 
1 0 0 0 0 0 0 
0 0 0 1 0 0 0 
0 0 1 0 0 0 0 
0 0 0 0 1 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 1 0 0 0 
0 0 0 0 1 0 0 
0 1 0 0 0 0 0 
0 0 1 0 0 0 0 
1 0 0 0 0 0 0 
0 0 0 0 0 1 0 
0 0 0 0 0 0 1 
, 
1 1 1 1 1 1 1 
0 0 1 0 0 0 0 
1 0 0 0 0 0 0 
0 0 0 1 0 0 0 
0 0 0 0 1 0 0 
0 0 0 0 0 1 0 
0 0 0 0 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(7, 8), 
(6, 7), 
(5, 7), 
(5, 7, 8), 
(4, 7, 6, 5), 
(3, 5, 4), 
(3, 8)(5, 6, 7), 
(2, 6, 5, 4), 
(1, 5, 2, 3, 4), 
(1, 3, 2, 8)
orbits: { 1, 4, 8, 5, 3, 7, 2, 6 }