the 1 isometry classes of irreducible [8,4,5]_8 codes are:

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