the 2 isometry classes of irreducible [9,2,7]_5 codes are:

code no       1:
================
1 1 1 1 1 1 1 4 0
3 3 2 2 1 1 0 0 4
the automorphism group has order 64
and is strongly generated by the following 4 elements:
(
3 0 0 0 0 0 0 
0 3 0 0 0 0 0 
0 0 3 0 0 0 0 
0 0 0 3 0 0 0 
0 0 0 0 3 0 0 
0 0 0 0 0 3 0 
2 2 2 2 2 2 2 
, 
4 0 0 0 0 0 0 
0 4 0 0 0 0 0 
0 0 4 0 0 0 0 
0 0 0 4 0 0 0 
0 0 0 0 0 4 0 
0 0 0 0 4 0 0 
0 0 0 0 0 0 4 
, 
1 0 0 0 0 0 0 
0 1 0 0 0 0 0 
0 0 0 1 0 0 0 
0 0 1 0 0 0 0 
0 0 0 0 0 1 0 
0 0 0 0 1 0 0 
0 0 0 0 0 0 1 
, 
0 0 0 4 0 0 0 
0 0 4 0 0 0 0 
1 1 1 1 1 1 1 
0 0 0 0 0 0 4 
0 4 0 0 0 0 0 
4 0 0 0 0 0 0 
0 0 0 0 0 4 0 
)
acting on the columns of the generator matrix as follows (in order):
(7, 8), 
(5, 6), 
(3, 4)(5, 6), 
(1, 6, 7, 4)(2, 5, 8, 3)
orbits: { 1, 4, 3, 7, 8, 6, 5, 2 }, { 9 }

code no       2:
================
1 1 1 1 1 1 1 4 0
4 3 2 2 1 1 0 0 4
the automorphism group has order 48
and is strongly generated by the following 6 elements:
(
4 0 0 0 0 0 0 
0 4 0 0 0 0 0 
0 0 4 0 0 0 0 
0 0 0 4 0 0 0 
0 0 0 0 4 0 0 
0 0 0 0 0 4 0 
1 1 1 1 1 1 1 
, 
1 0 0 0 0 0 0 
0 1 0 0 0 0 0 
0 0 1 0 0 0 0 
0 0 0 1 0 0 0 
0 0 0 0 0 1 0 
0 0 0 0 1 0 0 
4 4 4 4 4 4 4 
, 
1 0 0 0 0 0 0 
0 1 0 0 0 0 0 
0 0 0 1 0 0 0 
0 0 1 0 0 0 0 
0 0 0 0 0 1 0 
0 0 0 0 1 0 0 
0 0 0 0 0 0 1 
, 
1 0 0 0 0 0 0 
1 2 3 3 4 4 0 
0 0 4 0 0 0 0 
0 0 0 4 0 0 0 
3 3 3 3 3 3 3 
0 0 0 0 0 0 2 
0 0 0 0 0 3 0 
, 
0 1 0 0 0 0 0 
1 0 0 0 0 0 0 
0 0 0 0 0 0 1 
4 4 4 4 4 4 4 
0 0 0 0 1 0 0 
0 0 0 0 0 1 0 
0 0 0 1 0 0 0 
, 
3 1 4 4 2 2 0 
3 0 0 0 0 0 0 
0 0 0 0 4 0 0 
0 0 0 0 0 4 0 
0 0 0 0 0 0 1 
4 4 4 4 4 4 4 
0 0 2 0 0 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(7, 8), 
(5, 6)(7, 8), 
(3, 4)(5, 6), 
(2, 9)(5, 8)(6, 7), 
(1, 2)(3, 8, 4, 7), 
(1, 2, 9)(3, 7, 5)(4, 8, 6)
orbits: { 1, 2, 9 }, { 3, 4, 7, 5, 8, 6 }