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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '128.850', 'arith_equiv': 0, 'aut_label': '4.2', 'auts': 4, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 850, 'gapidfull': '[128,850]', 'gens': [[[1, 7, 5, 4], [2, 8, 6, 3], [9, 15, 13, 11], [10, 16, 14, 12]], [[1, 10], [2, 9], [3, 4], [5, 14], [6, 13], [7, 15], [8, 16], [11, 12]], [[1, 7, 5, 12], [2, 8, 6, 11], [3, 9, 15, 13], [4, 10, 16, 14]]], 'isomorphism': [8375382927360, 6230258344, 1313941673647, 1314253007976, 5612462133696, 53738881937, 12520535695927], 'label': '16T273', 'n': 16, 'name': 't16n273', 'nilpotency': 4, 'num_conj_classes': 26, 'order': 128, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 1], 4], [4, [4, 2], 7], [8, [4, 3], 4], [8, [8, 2], 6], [8, [8, 3], 1], [16, [8, 9], 2], [16, [8, 10], 4], [16, [16, 2], 1], [32, [8, 19], 2], [32, [16, 21], 1], [64, [8, 27], 2], [64, [16, 76], 1]], 'siblings': [[[16, 227], 4], [[16, 259], 8], [[16, 261], 4], [[16, 273], 3], [[16, 283], 4], [[32, 506], 1], [[32, 507], 2], [[32, 508], 4], [[32, 595], 4], [[32, 596], 8], [[32, 597], 2], [[32, 598], 4], [[32, 599], 4], [[32, 601], 1], [[32, 602], 2], [[32, 633], 1], [[32, 657], 1], [[32, 1130], 2], [[32, 1796], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[4, 1], 1], [[4, 3], 2], [[8, 10], 1], [[8, 27], 2]], 't': 273}