the 1 isometry classes of irreducible [17,2,11]_2 codes are: code no 1: ================ 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 the automorphism group has order 124416000 and is strongly generated by the following 20 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 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 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 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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 1 0 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 1 0 0 0 0 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 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 0 1 ) acting on the columns of the generator matrix as follows (in order): (15, 17), (14, 15), (14, 15, 17), (13, 15), (13, 17)(14, 15), (12, 13), (12, 15, 14), (11, 13)(12, 14), (11, 13, 17)(12, 14, 15), (10, 16)(11, 12)(13, 14, 15), (9, 16)(11, 12, 14, 15, 13), (8, 10, 9)(12, 15, 14, 13), (8, 10, 9, 16)(11, 14, 15), (7, 9)(8, 16)(11, 15)(12, 14, 13), (6, 9)(7, 8, 16)(11, 15, 14, 13, 12), (6, 15, 8, 12, 9, 17, 16, 13, 10, 14, 7, 11), (4, 5)(6, 8, 7, 9)(10, 16)(11, 12, 14)(13, 15), (3, 5, 4)(6, 9, 7, 10, 16)(11, 15, 12, 13, 14), (2, 5, 3, 4)(6, 9, 8, 7, 10, 16)(12, 13)(14, 15), (1, 3, 2)(6, 8, 7, 10, 9)(11, 12, 13, 14) orbits: { 1, 2, 4, 3, 5 }, { 6, 9, 11, 16, 10, 7, 12, 13, 17, 15, 14, 8 }