the 1 isometry classes of irreducible [15,1,15]_2 codes are: code no 1: ================ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 the automorphism group has order 1307674368000 and is strongly generated by the following 22 elements: ( 1 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 1 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 1 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 1 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 1 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 1 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 1 0 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 1 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 1 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 1 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 1 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 1 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 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 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13), (12, 15), (11, 13), (11, 13, 12), (10, 13, 12, 11, 14), (10, 15)(11, 14, 13), (9, 13, 12), (9, 10, 14, 11, 15)(12, 13), (8, 14), (7, 13, 10, 11, 12, 8, 9), (6, 8, 10, 12, 7, 9, 13, 11), (6, 7, 11, 14, 12, 9, 15)(10, 13), (5, 8, 9, 6, 10, 7, 12, 11), (4, 9, 8, 7, 5, 6, 12, 11, 13), (3, 7, 13, 4, 12, 9, 10)(5, 11), (3, 13, 9, 6, 5, 8, 7, 15)(4, 10, 14, 12, 11), (2, 14, 10)(3, 9)(4, 13, 7)(5, 12, 6), (1, 4, 10, 8, 3, 2, 13)(5, 11, 9, 6, 12), (1, 9, 12, 8, 13, 3, 4, 7, 5, 11, 6, 10, 15) orbits: { 1, 13, 15, 14, 12, 11, 10, 9, 7, 3, 4, 2, 8, 6, 5 }