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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '72.27', 'arith_equiv': 0, 'aut_label': '12.2', 'auts': 12, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 27, 'gapidfull': '[72,27]', 'gens': [[[1, 22, 17, 13, 9, 5, 2, 21, 18, 14, 10, 6], [3, 16, 4, 15], [7, 20, 8, 19], [11, 24, 12, 23]], [[1, 23, 17, 16, 9, 7, 2, 24, 18, 15, 10, 8], [3, 21, 19, 14, 11, 6, 4, 22, 20, 13, 12, 5]]], 'isomorphism': [270189770568104745002297, 134827332891268377426894], 'label': '24T65', 'n': 24, 'name': 't24n65', 'nilpotency': -1, 'num_conj_classes': 36, 'order': 72, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [3, [3, 1], 1], [4, [4, 1], 2], [4, [4, 2], 1], [6, [3, 2], 1], [6, [6, 1], 3], [8, [8, 2], 1], [12, [6, 3], 1], [12, [12, 1], 2], [12, [12, 2], 1], [18, [6, 5], 1], [24, [12, 11], 1], [24, [24, 2], 1], [36, [12, 18], 1]], 'siblings': [[[36, 27], 2]], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 1], 2], [[4, 2], 1], [[6, 5], 1], [[8, 2], 1], [[12, 18], 1]], 't': 65}