the 1 isometry classes of irreducible [5,2,4]_8 codes are: code no 1: ================ 1 1 1 1 0 3 2 1 0 1 the automorphism group has order 12 and is strongly generated by the following 3 elements: ( 5 0 0 0 0 5 5 5 5 , 2 , 0 7 0 7 0 0 7 7 7 , 0 , 3 3 3 0 3 0 3 0 0 , 2 ) acting on the columns of the generator matrix as follows (in order): (2, 4, 3), (1, 2)(3, 4), (1, 3, 4) orbits: { 1, 2, 4, 3 }, { 5 }