the 1 isometry classes of irreducible [9,4,5]_3 codes are: code no 1: ================ 1 1 1 1 1 2 0 0 0 2 2 1 1 0 0 2 0 0 2 1 2 0 1 0 0 2 0 0 2 2 1 1 0 0 0 2 the automorphism group has order 144 and is strongly generated by the following 6 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 2 2 0 1 2 1 0 2 , 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 , 2 0 0 0 0 1 1 2 2 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 , 2 2 2 2 2 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 , 0 0 0 2 0 1 0 0 0 0 2 1 2 0 1 2 2 2 2 2 1 1 2 2 0 , 0 1 1 2 2 1 1 1 1 1 1 0 0 0 0 0 0 2 0 0 0 0 0 1 0 ) acting on the columns of the generator matrix as follows (in order): (4, 7)(5, 8)(6, 9), (2, 3)(4, 5)(7, 8), (2, 8, 6, 5, 3, 4, 9, 7), (1, 6)(2, 5)(3, 4), (1, 2, 6, 4)(3, 7, 5, 8), (1, 3, 4, 5, 8, 9)(2, 7, 6) orbits: { 1, 6, 4, 9, 8, 2, 7, 5, 3 }