the 6 isometry classes of irreducible [8,3,3]_2 codes are:

code no       1:
================
1 1 1 1 1 1 0 0
1 1 0 0 0 0 1 0
1 0 1 0 0 0 0 1
the automorphism group has order 24
and is strongly generated by the following 4 elements:
(
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 0 1 0 
1 1 1 1 1 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 0 0 1 
1 1 1 1 1 
, 
1 0 0 0 0 
1 1 0 0 0 
1 0 1 0 0 
0 0 0 1 0 
1 1 1 1 1 
, 
1 0 0 0 0 
0 0 1 0 0 
0 1 0 0 0 
0 0 0 1 0 
1 1 1 1 1 
)
acting on the columns of the generator matrix as follows (in order):
(5, 6), 
(4, 6, 5), 
(2, 7)(3, 8)(5, 6), 
(2, 3)(5, 6)(7, 8)
orbits: { 1 }, { 2, 7, 3, 8 }, { 4, 5, 6 }

code no       2:
================
1 1 1 1 1 1 0 0
1 1 0 0 0 0 1 0
1 1 1 0 0 0 0 1
the automorphism group has order 12
and is strongly generated by the following 3 elements:
(
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 0 1 0 
1 1 1 1 1 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 0 0 1 
1 1 1 1 1 
, 
0 1 0 0 0 
1 0 0 0 0 
0 0 1 0 0 
0 0 0 1 0 
0 0 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(5, 6), 
(4, 6, 5), 
(1, 2)
orbits: { 1, 2 }, { 3 }, { 4, 5, 6 }, { 7 }, { 8 }

code no       3:
================
1 1 1 1 1 1 0 0
1 1 0 0 0 0 1 0
0 0 1 1 0 0 0 1
the automorphism group has order 16
and is strongly generated by the following 4 elements:
(
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 0 1 0 
1 1 1 1 1 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 0 1 0 
0 0 1 0 0 
0 0 0 0 1 
, 
0 1 0 0 0 
1 0 0 0 0 
0 0 1 0 0 
0 0 0 1 0 
0 0 0 0 1 
, 
0 0 1 0 0 
0 0 0 1 0 
1 0 0 0 0 
0 1 0 0 0 
0 0 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(5, 6), 
(3, 4), 
(1, 2), 
(1, 3)(2, 4)(7, 8)
orbits: { 1, 2, 3, 4 }, { 5, 6 }, { 7, 8 }

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

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

code no       6:
================
1 1 0 0 0 1 0 0
1 0 1 1 0 0 1 0
1 0 1 0 1 0 0 1
the automorphism group has order 16
and is strongly generated by the following 4 elements:
(
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
0 0 0 1 0 
1 0 1 0 1 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
1 0 1 1 0 
0 0 0 0 1 
, 
1 0 0 0 0 
0 1 0 0 0 
0 0 1 0 0 
1 0 1 0 1 
1 0 1 1 0 
, 
1 0 0 0 0 
1 1 0 0 0 
0 0 1 0 0 
1 0 1 1 0 
0 0 0 0 1 
)
acting on the columns of the generator matrix as follows (in order):
(5, 8), 
(4, 7), 
(4, 8)(5, 7), 
(2, 6)(4, 7)
orbits: { 1 }, { 2, 6 }, { 3 }, { 4, 7, 8, 5 }