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

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