the 1 isometry classes of irreducible [6,2,5]_5 codes are: code no 1: ================ 1 1 1 1 4 0 4 3 2 1 0 4 the automorphism group has order 120 and is strongly generated by the following 8 elements: ( 2 0 0 0 0 3 0 0 4 4 4 4 4 3 2 1 , 1 0 0 0 0 3 0 0 0 0 0 2 1 1 1 1 , 4 0 0 0 1 1 1 1 0 0 0 4 0 0 4 0 , 2 0 0 0 0 0 0 2 0 2 0 0 3 3 3 3 , 4 0 0 0 3 1 4 2 0 1 0 0 0 0 3 0 , 2 2 2 2 0 0 3 0 3 0 0 0 0 0 0 3 , 0 0 0 1 4 4 4 4 1 0 0 0 0 1 0 0 , 2 4 1 3 0 0 4 0 0 0 0 2 3 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (3, 5)(4, 6), (3, 6, 5, 4), (2, 5)(3, 4), (2, 3, 5, 4), (2, 3, 4, 6), (1, 3, 2, 5), (1, 3, 5, 2, 4), (1, 4, 3, 2, 5, 6) orbits: { 1, 5, 4, 6, 3, 2 }