the 2 isometry classes of irreducible [8,3,6]_9 codes are:

code no       1:
================
1 1 1 1 1 2 0 0
5 4 3 2 1 0 2 0
4 7 6 3 1 0 0 2
the automorphism group has order 32
and is strongly generated by the following 5 elements:
(
8 0 0 0 0 
0 8 0 0 0 
4 1 3 6 7 
8 8 8 8 8 
4 7 1 3 6 
, 1
, 
5 0 0 0 0 
0 5 0 0 0 
0 0 0 0 5 
0 0 0 5 0 
0 0 5 0 0 
, 1
, 
0 0 0 3 0 
6 6 6 6 6 
0 0 0 0 3 
3 0 0 0 0 
0 0 3 0 0 
, 0
, 
0 1 0 0 0 
1 0 0 0 0 
0 0 1 0 0 
2 2 2 2 2 
0 0 0 0 1 
, 1
, 
5 4 1 2 3 
5 3 4 1 2 
0 0 0 7 0 
0 0 0 0 5 
5 5 5 5 5 
, 1
)
acting on the columns of the generator matrix as follows (in order):
(3, 8)(4, 6)(5, 7), 
(3, 5)(7, 8), 
(1, 4)(2, 6)(3, 5), 
(1, 2)(4, 6), 
(1, 7, 2, 8)(3, 6, 5, 4)
orbits: { 1, 4, 2, 8, 6, 5, 7, 3 }

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