the 1 isometry classes of irreducible [9,3,7]_9 codes are:

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