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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '256.6665', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 6665, 'gapidfull': '[256,6665]', 'gens': [[[1, 12, 3, 10, 2, 11, 4, 9], [5, 16, 7, 14, 6, 15, 8, 13]], [[1, 10, 6, 14, 2, 9, 5, 13], [3, 12, 7, 15, 4, 11, 8, 16]], [[1, 11, 3, 14], [2, 12, 4, 13], [5, 16, 7, 10], [6, 15, 8, 9]]], 'isomorphism': [19581976927144, 15323699893975, 6227412456, 9676830637441], 'label': '16T672', 'n': 16, 'name': 't16n672', 'nilpotency': 5, 'num_conj_classes': 22, 'order': 256, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 2], 7], [8, [4, 3], 6], [8, [8, 3], 1], [16, [8, 9], 3], [32, [8, 18], 1], [64, [8, 29], 1], [128, [8, 35], 1]], 'siblings': [[[16, 662], 2], [[16, 672], 1], [[32, 3230], 1], [[32, 3231], 2], [[32, 3232], 1], [[32, 3270], 1], [[32, 3271], 1], [[32, 6290], 2], [[32, 7435], 1], [[32, 7447], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[4, 3], 1], [[8, 29], 1]], 't': 672}