the 1 isometry classes of irreducible [9,6,4]_9 codes are: code no 1: ================ 1 1 1 2 0 0 0 0 0 3 2 1 0 2 0 0 0 0 6 3 1 0 0 2 0 0 0 7 4 1 0 0 0 2 0 0 4 5 1 0 0 0 0 2 0 8 6 1 0 0 0 0 0 2 the automorphism group has order 144 and is strongly generated by the following 4 elements: ( 4 0 0 0 6 0 7 4 6 , 1 , 5 0 0 0 0 6 7 1 3 , 1 , 0 0 4 3 2 1 8 4 5 , 0 , 8 3 7 4 1 2 8 4 2 , 1 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 6)(5, 7), (2, 4, 9, 3)(5, 8, 7, 6), (1, 7, 4, 5, 2, 8, 6, 3), (1, 6, 3, 9)(2, 8, 7, 5) orbits: { 1, 3, 9, 8, 6, 4, 5, 2, 7 }