the 1 isometry classes of irreducible [9,5,5]_8 codes are: code no 1: ================ 1 1 1 1 1 0 0 0 0 4 3 2 1 0 1 0 0 0 3 6 5 1 0 0 1 0 0 7 2 6 1 0 0 0 1 0 5 4 7 1 0 0 0 0 1 the automorphism group has order 1512 and is strongly generated by the following 6 elements: ( 7 0 0 0 0 5 0 0 0 0 6 0 4 4 4 4 , 2 , 2 0 0 0 0 3 0 0 6 1 5 3 0 0 4 0 , 2 , 2 0 0 0 0 2 0 0 7 6 1 2 6 7 2 1 , 2 , 3 0 0 0 6 6 6 6 5 2 6 4 0 4 0 0 , 1 , 4 7 5 1 0 3 0 0 4 4 4 4 0 0 1 0 , 1 , 7 5 3 2 0 0 0 5 6 1 7 2 1 7 4 5 , 0 ) acting on the columns of the generator matrix as follows (in order): (4, 7, 5)(6, 8, 9), (3, 4, 8)(5, 7, 6), (3, 8, 7)(4, 6, 9), (2, 4, 5)(3, 7, 6), (1, 7, 8)(3, 4, 5), (1, 7, 3, 8, 4, 2, 5, 6, 9) orbits: { 1, 8, 9, 6, 4, 3, 7, 5, 2 }