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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '2560.n', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 0, 'gapidfull': '', 'gens': [[[1, 8, 11, 20, 15, 4, 6, 9, 18, 13], [2, 7, 12, 19, 16, 3, 5, 10, 17, 14]], [[1, 18, 16, 5], [2, 17, 15, 6], [3, 19, 13, 8], [4, 20, 14, 7], [9, 10], [11, 12]], [[1, 11, 18, 6, 2, 12, 17, 5], [3, 9, 19, 8, 4, 10, 20, 7], [13, 14]]], 'isomorphism': [891441992554449840, 2176430456172643223, 1405488411205027057], 'label': '20T261', 'n': 20, 'name': 't20n261', 'nilpotency': -1, 'num_conj_classes': 55, 'order': 2560, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 1], 4], [4, [4, 2], 7], [8, [4, 3], 2], [8, [8, 2], 6], [8, [8, 3], 1], [16, [8, 9], 1], [16, [8, 11], 1], [16, [16, 2], 1], [20, [5, 3], 1], [32, [16, 19], 1], [40, [10, 5], 3], [80, [20, 16], 1], [160, [20, 42], 1], [320, [10, 24], 1], [640, [10, 29], 3], [1280, [20, 196], 1]], 'siblings': [[[20, 261], 3], [[40, 1834], 2], [[40, 1835], 2], [[40, 1840], 2], [[40, 1841], 2], [[40, 1844], 1], [[40, 1849], 2], [[40, 1850], 2], [[40, 2177], 4], [[40, 2178], 4], [[40, 2179], 4], [[40, 2180], 4], [[40, 2249], 2], [[40, 2258], 2], [[40, 2282], 2], [[40, 2283], 2]], 'solv': 1, 'subfields': [[[2, 1], 1], [[5, 3], 1], [[10, 5], 1]], 't': 261}