the 1 isometry classes of irreducible [14,1,14]_2 codes are: code no 1: ================ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 the automorphism group has order 87178291200 and is strongly generated by the following 17 elements: ( 1 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 1 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 1 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 1 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 1 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 1 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 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 1 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 1 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 1 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 1 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 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 1 0 , 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 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acting on the columns of the generator matrix as follows (in order): (13, 14), (12, 13), (12, 13, 14), (11, 12), (10, 11, 13), (9, 12, 11, 10), (8, 13)(9, 10), (8, 12, 9, 11), (7, 8, 9, 10, 11), (6, 8)(7, 13)(10, 11), (6, 11, 7, 13, 12, 10, 8, 14), (5, 12, 8, 6, 10, 11), (4, 11, 6, 12, 5, 10, 8), (3, 12, 6, 4, 11)(5, 10, 9, 8), (2, 10, 11, 5, 4, 3, 7), (1, 12, 4)(3, 10, 5, 8)(7, 11, 9), (1, 3, 14)(2, 13)(4, 5)(6, 9, 12, 8, 10) orbits: { 1, 4, 14, 8, 6, 5, 12, 13, 3, 11, 7, 10, 9, 2 }