the 1 isometry classes of irreducible [5,1,5]_27 codes are: code no 1: ================ 1 1 1 1 2 the automorphism group has order 360 and is strongly generated by the following 6 elements: ( 26 0 0 0 0 26 0 0 0 0 26 0 0 0 0 26 , 1 , 16 0 0 0 0 16 0 0 0 0 16 0 23 23 23 23 , 0 , 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 , 1 , 2 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 , 2 , 0 0 3 0 0 3 0 0 0 0 0 3 3 0 0 0 , 0 , 6 6 6 6 3 0 0 0 0 0 0 3 0 3 0 0 , 0 ) acting on the columns of the generator matrix as follows (in order): id, (4, 5), (3, 4), (2, 3, 4), (1, 4, 3), (1, 2, 4, 3, 5) orbits: { 1, 3, 5, 4, 2 }