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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '72.45', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 45, 'gapidfull': '[72,45]', 'gens': [[[1, 6, 12, 7], [2, 8, 11, 5], [3, 9, 10, 4]], [[1, 5, 9], [4, 8, 12]], [[1, 12], [2, 3], [4, 5], [6, 7], [8, 9], [10, 11]], [[2, 10], [3, 11], [4, 8], [5, 9]]], 'isomorphism': [223624194, 175818816, 287075789], 'label': '12T41', 'n': 12, 'name': '1/2[(1/4.2^3)^2]F_36(6)', 'nilpotency': -1, 'num_conj_classes': 12, 'order': 72, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 1], 2], [4, [4, 2], 1], [8, [8, 2], 1], [36, [6, 10], 1]], 'siblings': [[[12, 40], 2], [[12, 41], 1], [[18, 27], 2], [[24, 76], 2], [[36, 35], 1], [[36, 36], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[4, 1], 1], [[6, 10], 1]], 't': 41}