the 1 isometry classes of irreducible [8,2,6]_3 codes are: code no 1: ================ 1 1 1 1 1 0 2 0 2 2 1 1 0 1 0 2 the automorphism group has order 384 and is strongly generated by the following 8 elements: ( 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 2 2 0 2 , 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 2 2 2 2 2 0 0 0 0 0 0 1 , 2 0 0 0 0 0 0 2 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 , 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 1 1 1 1 1 0 0 0 0 2 0 0 0 0 0 0 0 1 , 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 , 2 2 2 2 2 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 , 0 0 2 0 0 0 0 0 0 2 0 0 1 1 1 1 1 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 , 2 2 1 1 0 1 0 0 0 0 0 2 0 1 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 1 1 1 1 1 0 ) acting on the columns of the generator matrix as follows (in order): (6, 8), (5, 7), (5, 6)(7, 8), (3, 7, 4, 5), (1, 2)(3, 4), (1, 7)(2, 5)(3, 4), (1, 7, 3)(2, 5, 4), (1, 4, 7, 6, 2, 3, 5, 8) orbits: { 1, 2, 7, 3, 8, 5, 4, 6 }