the 1 isometry classes of irreducible [9,2,7]_4 codes are: code no 1: ================ 1 1 1 1 1 1 1 1 0 3 3 2 2 1 1 0 0 1 the automorphism group has order 384 and is strongly generated by the following 6 elements: ( 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 , 0 , 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 , 0 , 3 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 0 3 0 , 1 , 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 , 0 , 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 , 1 , 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 , 1 ) acting on the columns of the generator matrix as follows (in order): (7, 8), (5, 6), (5, 8, 6, 7), (3, 4), (3, 6)(4, 5), (1, 4, 2, 3)(5, 6)(7, 8) orbits: { 1, 3, 4, 6, 2, 5, 8, 7 }, { 9 }