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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '72.44', 'arith_equiv': 0, 'aut_label': '1.1', 'auts': 1, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 44, 'gapidfull': '[72,44]', 'gens': [[[1, 7, 10], [2, 5, 11], [3, 6, 9]], [[2, 8, 11], [3, 6, 12], [4, 7, 10]], [[1, 5], [2, 10], [4, 8], [7, 11]], [[1, 5, 9], [2, 6, 10], [3, 7, 11], [4, 8, 12]]], 'isomorphism': [36477846, 153882524, 87909424], 'label': '12T43', 'n': 12, 'name': 'A(4)[x]S(3)', 'nilpotency': -1, 'num_conj_classes': 12, 'order': 72, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [3, [3, 1], 1], [6, [3, 2], 1], [6, [6, 1], 1], [12, [4, 4], 1], [18, [6, 5], 1], [24, [6, 6], 1]], 'siblings': [[[18, 31], 1], [[18, 32], 1], [[24, 78], 1], [[24, 83], 1], [[36, 21], 1], [[36, 50], 1], [[36, 51], 1]], 'solv': 1, 'subfields': [[[3, 2], 1], [[4, 4], 1]], 't': 43}