the 1 isometry classes of irreducible [8,2,7]_9 codes are: code no 1: ================ 1 1 1 1 1 1 2 0 6 5 4 3 2 1 0 2 the automorphism group has order 32 and is strongly generated by the following 4 elements: ( 7 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 7 0 5 5 5 5 5 5 0 0 7 0 0 0 0 7 0 0 0 0 , 0 , 7 0 0 0 0 0 0 0 0 7 0 0 0 0 7 0 0 0 0 7 0 0 0 0 0 0 0 0 7 0 5 5 5 5 5 5 , 1 , 0 0 0 0 4 0 0 0 0 0 0 1 8 0 0 0 0 0 5 5 5 5 5 5 2 4 7 1 3 6 0 0 0 6 0 0 , 1 , 0 7 0 0 0 0 3 2 4 6 5 7 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 2 0 0 5 0 0 0 , 1 ) acting on the columns of the generator matrix as follows (in order): (2, 6)(3, 5)(4, 7), (2, 4)(6, 7), (1, 3, 8, 5)(2, 7, 4, 6), (1, 4, 8, 2)(3, 6, 5, 7) orbits: { 1, 5, 2, 3, 8, 6, 4, 7 }