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gps_transitive • Show schema
{'ab': 0, 'abstract_label': '49152.z', 'arith_equiv': 0, 'aut_label': '2.1', 'aut_sg_no': 1, 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 0, 'gapidfull': '', 'gens': [[[1, 11, 14], [2, 12, 13], [3, 5, 9], [4, 6, 10]], [[1, 14, 8, 10, 5, 16], [2, 13, 7, 9, 6, 15], [11, 12]], [[3, 6, 4, 5], [9, 10], [11, 13, 12, 14], [15, 16]]], 'isomorphism': [13975613579934, 18059796132473, 19639070935], 'label': '16T1851', 'n': 16, 'name': 't16n1851', 'nilpotency': -1, 'num_conj_classes': 116, 'order': 49152, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 2], 1], [6, [3, 2], 1], [12, [6, 3], 1], [24, [4, 5], 3], [48, [6, 11], 3], [96, [8, 34], 1], [192, [8, 39], 2], [192, [8, 41], 2], [192, [12, 100], 1], [384, [8, 44], 2], [384, [16, 747], 1], [768, [16, 1068], 1], [1536, [24, 3293], 1], [1536, [24, 3382], 2], [3072, [16, 1521], 2], [3072, [16, 1538], 1], [6144, [32, 397650], 1], [24576, [48, -1], 1]], 'siblings': [[[16, 1851], 7], [[32, 1515657], 4], [[32, 1515658], 4], [[32, 1515659], 4], [[32, 1515660], 4], [[32, 1515661], 4], [[32, 1515662], 4], [[32, 1515663], 4]], 'solv': 1, 'subfields': [[[4, 5], 1], [[8, 44], 1]], 't': 1851}