the 2 isometry classes of irreducible [9,6,4]_8 codes are:

code no       1:
================
1 1 1 1 0 0 0 0 0
3 2 1 0 1 0 0 0 0
5 3 1 0 0 1 0 0 0
2 4 1 0 0 0 1 0 0
7 5 1 0 0 0 0 1 0
4 6 1 0 0 0 0 0 1
the automorphism group has order 168
and is strongly generated by the following 4 elements:
(
1 0 0 
0 1 0 
2 4 7 
, 2
, 
1 0 0 
5 7 3 
1 1 1 
, 1
, 
3 0 0 
0 0 3 
4 5 2 
, 0
, 
0 0 3 
4 5 2 
3 3 3 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(3, 7, 9)(4, 6, 8), 
(2, 7, 6)(3, 8, 4), 
(2, 8, 4, 9, 6, 7, 3), 
(1, 7, 2, 8, 6, 4, 3)
orbits: { 1, 3, 9, 4, 7, 8, 6, 2 }, { 5 }

code no       2:
================
1 1 1 1 0 0 0 0 0
3 2 1 0 1 0 0 0 0
7 3 1 0 0 1 0 0 0
6 5 1 0 0 0 1 0 0
2 6 1 0 0 0 0 1 0
4 7 1 0 0 0 0 0 1
the automorphism group has order 1512
and is strongly generated by the following 5 elements:
(
5 0 0 
0 4 0 
0 0 1 
, 2
, 
1 0 0 
0 3 0 
3 6 1 
, 2
, 
7 0 0 
1 4 7 
6 5 7 
, 1
, 
0 0 6 
1 2 4 
2 2 2 
, 2
, 
3 6 7 
0 6 0 
4 2 3 
, 1
)
acting on the columns of the generator matrix as follows (in order):
(4, 6, 5)(7, 9, 8), 
(3, 5, 7)(4, 8, 6), 
(2, 4, 7)(3, 5, 6), 
(1, 4, 3)(2, 5, 7), 
(1, 8, 3, 6, 4, 9)(5, 7)
orbits: { 1, 3, 9, 7, 6, 4, 8, 5, 2 }