the 1 isometry classes of irreducible [17,8,6]_2 codes are: code no 1: ================ 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 the automorphism group has order 136 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 , 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 1 0 1 0 1 0 1 0 , 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (2, 17, 7, 14, 13, 4, 6, 12)(3, 9, 16, 15, 11, 5, 8, 10), (1, 10, 6, 5)(2, 3, 16, 15)(4, 13, 9, 11)(7, 12, 14, 8), (1, 9, 5, 13, 6, 4, 10, 11)(2, 14, 15, 12, 16, 7, 3, 8) orbits: { 1, 5, 11, 6, 9, 15, 10, 4, 13, 3, 16, 14, 8, 2, 7, 12, 17 }