the 4 isometry classes of irreducible [9,2,5]_3 codes are:

code no       1:
================
1 1 1 1 1 1 1 2 0
1 1 1 1 0 0 0 0 2
the automorphism group has order 1152
and is strongly generated by the following 8 elements:
(
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 2 0 0 0 
0 0 0 0 2 0 0 
0 0 0 0 0 2 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 1 0 0 
0 0 0 0 0 0 1 
0 0 0 0 0 1 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 1 0 0 0 
0 0 0 0 0 0 1 
0 0 0 0 0 1 0 
0 0 0 0 1 0 0 
, 
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 2 0 0 0 
0 0 0 0 0 2 0 
0 0 0 0 2 0 0 
1 1 1 1 1 1 1 
, 
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 
2 2 2 2 2 2 2 
0 0 0 0 0 1 0 
0 0 0 0 0 0 1 
, 
1 0 0 0 0 0 0 
0 0 1 0 0 0 0 
0 0 0 1 0 0 0 
0 1 0 0 0 0 0 
2 2 2 2 2 2 2 
0 0 0 0 0 1 0 
0 0 0 0 0 0 1 
, 
0 0 0 2 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
2 0 0 0 0 0 0 
0 0 0 0 0 2 0 
0 0 0 0 2 0 0 
0 0 0 0 0 0 2 
, 
2 2 2 2 2 2 2 
0 0 0 0 0 1 0 
0 0 0 0 0 0 1 
0 0 0 0 1 0 0 
0 1 0 0 0 0 0 
0 0 0 1 0 0 0 
1 0 0 0 0 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(7, 8), 
(6, 7), 
(5, 7), 
(5, 6)(7, 8), 
(3, 4)(5, 8), 
(2, 4, 3)(5, 8), 
(1, 4)(5, 6), 
(1, 7, 3, 8)(2, 5, 4, 6)
orbits: { 1, 4, 8, 3, 2, 5, 7, 6 }, { 9 }

code no       2:
================
1 1 1 1 1 1 1 2 0
2 1 1 1 0 0 0 0 2
the automorphism group has order 288
and is strongly generated by the following 6 elements:
(
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 2 0 0 0 
0 0 0 0 2 0 0 
0 0 0 0 0 2 0 
1 1 1 1 1 1 1 
, 
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 2 0 0 0 
0 0 0 0 2 0 0 
0 0 0 0 0 0 2 
1 1 1 1 1 1 1 
, 
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 2 0 0 0 
1 1 1 1 1 1 1 
0 0 0 0 2 0 0 
0 0 0 0 0 0 2 
, 
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 
2 2 2 2 2 2 2 
0 0 0 0 0 1 0 
0 0 0 0 0 0 1 
, 
2 0 0 0 0 0 0 
0 0 0 2 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 0 0 0 2 
0 0 0 0 2 0 0 
1 1 1 1 1 1 1 
, 
1 2 2 2 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 2 0 0 0 
0 0 0 0 0 0 1 
2 2 2 2 2 2 2 
0 0 0 0 0 1 0 
)
acting on the columns of the generator matrix as follows (in order):
(7, 8), 
(6, 8, 7), 
(5, 6, 8), 
(3, 4)(5, 8), 
(2, 3, 4)(5, 6, 8, 7), 
(1, 9)(5, 8, 6, 7)
orbits: { 1, 9 }, { 2, 4, 3 }, { 5, 8, 7, 6 }

code no       3:
================
1 1 1 1 1 1 1 2 0
2 2 1 1 0 0 0 0 2
the automorphism group has order 192
and is strongly generated by the following 7 elements:
(
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 2 0 0 0 
0 0 0 0 2 0 0 
0 0 0 0 0 2 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 1 0 0 
0 0 0 0 0 0 1 
0 0 0 0 0 1 0 
, 
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 2 0 0 0 
0 0 0 0 2 0 0 
1 1 1 1 1 1 1 
0 0 0 0 0 2 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 1 0 0 0 
0 0 0 0 0 0 1 
0 0 0 0 1 0 0 
0 0 0 0 0 1 0 
, 
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 2 0 0 0 
1 1 1 1 1 1 1 
0 0 0 0 0 0 2 
0 0 0 0 0 2 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 0 0 
0 0 0 0 1 0 0 
2 2 2 2 2 2 2 
0 0 0 0 0 0 1 
, 
0 0 0 2 0 0 0 
0 0 2 0 0 0 0 
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
1 1 1 1 1 1 1 
0 0 0 0 0 2 0 
0 0 0 0 2 0 0 
)
acting on the columns of the generator matrix as follows (in order):
(7, 8), 
(6, 7), 
(6, 7, 8), 
(5, 6, 7), 
(5, 8)(6, 7), 
(3, 4)(6, 8), 
(1, 3, 2, 4)(5, 7, 8)
orbits: { 1, 4, 3, 2 }, { 5, 7, 8, 6 }, { 9 }

code no       4:
================
1 1 1 1 0 0 0 2 0
1 1 0 0 1 1 1 0 2
the automorphism group has order 288
and is strongly generated by the following 7 elements:
(
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 2 0 0 0 
0 0 0 0 2 0 0 
0 0 0 0 0 2 0 
1 1 0 0 1 1 1 
, 
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 2 0 0 0 
0 0 0 0 2 0 0 
0 0 0 0 0 0 2 
0 0 0 0 0 2 0 
, 
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 2 0 0 0 
0 0 0 0 0 2 0 
0 0 0 0 0 0 2 
0 0 0 0 2 0 0 
, 
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
0 0 0 2 0 0 0 
1 1 0 0 1 1 1 
0 0 0 0 2 0 0 
0 0 0 0 0 0 2 
, 
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
0 0 2 0 0 0 0 
1 1 1 1 0 0 0 
0 0 0 0 2 0 0 
0 0 0 0 0 0 2 
0 0 0 0 0 2 0 
, 
2 0 0 0 0 0 0 
0 2 0 0 0 0 0 
1 1 1 1 0 0 0 
0 0 0 2 0 0 0 
0 0 0 0 0 2 0 
0 0 0 0 2 0 0 
0 0 0 0 0 0 2 
, 
0 1 0 0 0 0 0 
1 0 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 
)
acting on the columns of the generator matrix as follows (in order):
(7, 9), 
(6, 7), 
(5, 7, 6), 
(5, 6, 9), 
(4, 8)(6, 7), 
(3, 8)(5, 6), 
(1, 2)(6, 7)
orbits: { 1, 2 }, { 3, 8, 4 }, { 5, 6, 9, 7 }