the 1 isometry classes of irreducible [9,6,4]_9 codes are:

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