the 3 isometry classes of irreducible [8,2,5]_3 codes are:

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

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

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