the 1 isometry classes of irreducible [18,2,12]_2 codes are: code no 1: ================ 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 the automorphism group has order 2239488000 and is strongly generated by the following 19 elements: ( 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 , 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 1 0 ) acting on the columns of the generator matrix as follows (in order): (16, 18), (15, 16), (14, 15), (13, 16), (12, 13, 15), (11, 17)(12, 14, 15), (10, 17)(13, 16, 15), (10, 11)(13, 16)(14, 15), (9, 11)(12, 15, 13), (8, 11, 9, 10)(12, 16, 14)(13, 15), (7, 11)(12, 14, 16, 15, 13), (7, 8, 11, 9, 10, 17)(12, 14)(15, 16), (7, 14, 17, 13, 8, 18, 9, 15, 10, 12)(11, 16), (5, 6)(7, 8, 10, 11)(12, 16, 15, 14, 13), (4, 6, 5)(7, 10, 11)(9, 17)(12, 16, 15, 14), (3, 4, 6, 5)(7, 17, 11, 9)(12, 13, 14, 15), (2, 6, 3, 4)(7, 10, 17, 11, 9, 8)(12, 15, 13)(14, 16), (1, 6, 5, 2, 4, 3)(7, 9, 10, 17, 8)(13, 16)(14, 15), (1, 7, 5, 11, 4, 8)(2, 17, 6, 9, 3, 10)(12, 14, 15, 16) orbits: { 1, 3, 8, 5, 6, 4, 9, 10, 7, 13, 17, 2, 11, 18, 15, 12, 16, 14 }