the 1 isometry classes of irreducible [9,3,6]_3 codes are:

code no       1:
================
1 1 1 1 1 0 2 0 0
2 2 1 1 0 1 0 2 0
2 1 2 0 1 1 0 0 2
the automorphism group has order 432
and is strongly generated by the following 5 elements:
(
1 0 0 0 0 0 
0 1 0 0 0 0 
0 0 0 0 0 2 
2 2 1 1 0 1 
0 0 2 0 0 0 
0 0 0 0 1 0 
, 
2 0 0 0 0 0 
0 2 0 0 0 0 
2 2 1 1 0 1 
0 0 0 0 0 2 
2 2 2 2 2 0 
0 0 0 2 0 0 
, 
2 0 0 0 0 0 
0 0 0 1 0 0 
2 1 2 0 1 1 
2 2 2 2 2 0 
0 0 0 0 0 2 
1 1 2 2 0 2 
, 
0 0 1 0 0 0 
0 0 0 1 0 0 
1 1 1 1 1 0 
0 0 0 0 2 0 
0 0 0 0 0 2 
2 0 0 0 0 0 
, 
1 2 1 0 2 2 
0 0 2 0 0 0 
0 0 0 0 1 0 
2 0 0 0 0 0 
0 1 0 0 0 0 
1 1 2 2 0 2 
)
acting on the columns of the generator matrix as follows (in order):
(3, 5, 6)(4, 7, 8), 
(3, 8)(4, 6)(5, 7), 
(2, 8, 6, 5, 9, 3, 7, 4), 
(1, 6, 5, 4, 2, 8, 7, 3), 
(1, 4, 9)(2, 5, 3)(6, 7, 8)
orbits: { 1, 3, 9, 6, 8, 7, 5, 4, 2 }