the 1 isometry classes of irreducible [7,2,6]_8 codes are: code no 1: ================ 1 1 1 1 1 1 0 5 4 3 2 1 0 1 the automorphism group has order 42 and is strongly generated by the following 2 elements: ( 3 0 0 0 0 0 0 7 0 0 6 6 6 6 6 0 4 0 0 0 5 2 1 6 7 , 2 , 0 0 0 0 5 5 5 5 5 5 0 5 0 0 0 5 0 0 0 0 0 0 5 0 0 , 2 ) acting on the columns of the generator matrix as follows (in order): (2, 4, 7, 5, 6, 3), (1, 4, 6, 2, 3, 5) orbits: { 1, 5, 7, 3, 4, 6, 2 }