the 1 isometry classes of irreducible [18,9,6]_2 codes are: code no 1: ================ 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 the automorphism group has order 2448 and is strongly generated by the following 5 elements: ( 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 , 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 , 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 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 , 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (3, 8, 12, 11, 7, 15, 6, 17)(4, 9, 5, 18, 16, 10, 13, 14), (2, 17, 7, 14, 13, 4, 6, 12)(3, 9, 16, 15, 11, 5, 8, 10), (2, 13, 9, 15, 16, 17, 3, 6, 14, 18, 12, 7, 11, 4, 8, 10, 5), (1, 9, 5, 13, 6, 4, 10, 11)(2, 14, 15, 12, 16, 7, 3, 8), (1, 8, 2, 13, 12, 11, 9, 6, 10, 14, 5, 16, 7, 4, 17, 3, 18) orbits: { 1, 11, 18, 12, 15, 7, 10, 5, 14, 3, 8, 6, 13, 16, 9, 17, 4, 2 }