the 1 isometry classes of irreducible [9,4,5]_3 codes are:

code no       1:
================
1 1 1 1 1 2 0 0 0
2 2 1 1 0 0 2 0 0
2 1 2 0 1 0 0 2 0
0 2 2 1 1 0 0 0 2
the automorphism group has order 144
and is strongly generated by the following 6 elements:
(
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
1 1 2 2 0 
1 2 1 0 2 
, 
2 0 0 0 0 
0 0 2 0 0 
0 2 0 0 0 
0 0 0 0 2 
0 0 0 2 0 
, 
2 0 0 0 0 
1 1 2 2 0 
0 0 0 0 1 
0 0 1 0 0 
1 1 1 1 1 
, 
2 2 2 2 2 
0 0 0 0 1 
0 0 0 1 0 
0 0 1 0 0 
0 1 0 0 0 
, 
0 0 0 2 0 
1 0 0 0 0 
2 1 2 0 1 
2 2 2 2 2 
1 1 2 2 0 
, 
0 1 1 2 2 
1 1 1 1 1 
1 0 0 0 0 
0 0 2 0 0 
0 0 0 1 0 
)
acting on the columns of the generator matrix as follows (in order):
(4, 7)(5, 8)(6, 9), 
(2, 3)(4, 5)(7, 8), 
(2, 8, 6, 5, 3, 4, 9, 7), 
(1, 6)(2, 5)(3, 4), 
(1, 2, 6, 4)(3, 7, 5, 8), 
(1, 3, 4, 5, 8, 9)(2, 7, 6)
orbits: { 1, 6, 4, 9, 8, 2, 7, 5, 3 }