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

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

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

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

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

code no       5:
================
1 1 1 1 2 0 0 0
8 3 2 1 0 2 0 0
2 6 4 1 0 0 2 0
3 5 6 1 0 0 0 2
the automorphism group has order 336
and is strongly generated by the following 5 elements:
(
1 0 0 0 
0 1 0 0 
4 4 4 4 
8 1 4 7 
, 0
, 
3 0 0 0 
0 4 0 0 
4 3 7 5 
5 5 5 5 
, 1
, 
4 0 0 0 
0 0 5 0 
6 4 1 2 
2 4 6 1 
, 1
, 
0 0 0 3 
5 1 3 6 
0 2 0 0 
0 0 6 0 
, 1
, 
7 4 5 3 
0 0 0 7 
7 7 7 7 
0 0 4 0 
, 0
)
acting on the columns of the generator matrix as follows (in order):
(3, 7, 5)(4, 6, 8), 
(3, 6)(4, 5)(7, 8), 
(2, 5, 7, 4, 6, 3), 
(1, 5, 6, 2, 3, 4), 
(1, 6, 5, 3, 4, 2, 8)
orbits: { 1, 4, 8, 5, 7, 3, 6, 2 }