the 2 isometry classes of irreducible [8,5,4]_9 codes are:

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

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