the 1 isometry classes of irreducible [6,1,6]_5 codes are: code no 1: ================ 1 1 1 1 1 4 the automorphism group has order 720 and is strongly generated by the following 6 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 4 4 4 4 4 , 4 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 4 0 , 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 , 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 0 0 0 4 0 0 0 , 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 , 2 2 2 2 2 0 0 0 3 0 0 0 0 0 3 0 3 0 0 0 3 0 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (4, 5), (3, 4, 5), (2, 5)(3, 4), (1, 3)(2, 5, 4), (1, 5, 3, 6)(2, 4) orbits: { 1, 3, 6, 5, 4, 2 }