the 1 isometry classes of irreducible [18,1,18]_2 codes are: code no 1: ================ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 the automorphism group has order 6402373705728000 and is strongly generated by the following 22 elements: ( 1 0 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 0 1 0 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 0 1 0 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 0 1 0 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 0 1 0 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 0 1 0 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 0 1 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 , 1 0 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 0 1 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 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on the columns of the generator matrix as follows (in order): (17, 18), (16, 17), (15, 16), (14, 15), (13, 14, 16, 15), (13, 18)(14, 17, 15, 16), (12, 13, 16)(14, 15), (11, 12, 13), (11, 12, 13, 17, 18)(14, 16), (10, 15, 13, 14, 11, 12), (9, 16, 10, 15, 11, 14), (8, 12, 10, 14, 11, 15, 13, 16, 9), (7, 15, 8, 10)(9, 11, 12), (6, 16, 10, 14, 11, 9, 15, 8)(7, 13), (6, 12, 13, 11, 7, 17)(9, 16)(10, 14), (5, 10, 11, 7, 6, 8, 9)(12, 15)(13, 14), (4, 11, 10, 7, 8, 15, 13)(5, 14, 6, 16)(9, 12), (3, 7, 14)(4, 12, 9, 6, 16, 5, 15, 13, 8, 10), (2, 13, 5, 8, 7, 9, 12, 6, 15)(3, 14, 4, 10, 11), (1, 9, 3, 14)(2, 10, 15, 16, 4)(5, 11, 8)(6, 7, 12), (1, 3, 6, 7, 15, 11, 14, 2, 16, 12, 10, 4, 8, 13, 9, 5, 17), (1, 3, 18)(2, 5, 7, 10, 17, 8, 11, 14, 12, 13, 16, 15, 6, 9, 4) orbits: { 1, 14, 17, 18, 15, 13, 16, 11, 10, 5, 7, 3, 9, 12, 8, 6, 2, 4 }