the 1 isometry classes of irreducible [18,3,10]_2 codes are: code no 1: ================ 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 the automorphism group has order 248832 and is strongly generated by the following 15 elements: ( 1 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 1 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 1 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 1 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 1 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 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 0 1 1 , 1 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 1 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 1 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 1 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 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 ) acting on the columns of the generator matrix as follows (in order): (15, 18), (14, 15), (13, 17), (12, 17, 13)(14, 15), (10, 11)(12, 17)(14, 15), (9, 16)(12, 13), (8, 16, 9)(12, 13, 17), (6, 7)(8, 16, 9)(10, 11), (6, 11, 7, 10)(8, 17)(9, 13, 16, 12), (4, 5)(6, 7)(9, 16)(10, 11)(12, 13, 17)(14, 15), (4, 10, 5, 11)(8, 15, 9, 18, 16, 14)(12, 13, 17), (2, 3)(4, 5)(6, 10, 7, 11)(8, 13, 9, 17, 16, 12), (1, 16, 2, 8)(3, 9)(4, 7, 5, 6)(10, 11)(12, 13), (1, 9, 17, 2, 16, 13, 3, 8, 12)(4, 7, 11, 5, 6, 10), (1, 9, 17, 15, 2, 8, 12, 18)(3, 16, 13, 14)(4, 11)(5, 10) orbits: { 1, 8, 12, 18, 9, 17, 14, 2, 3, 13, 16, 15 }, { 4, 5, 11, 6, 10, 7 }