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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '800.970', 'arith_equiv': 1, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 970, 'gapidfull': '[800,970]', 'gens': [[[1, 9], [2, 10], [13, 18], [14, 17]], [[3, 20, 16, 11, 7], [4, 19, 15, 12, 8]], [[1, 14, 9, 17], [2, 13, 10, 18], [3, 20, 7, 11], [4, 19, 8, 12], [5, 6]], [[1, 17, 13, 10, 6, 2, 18, 14, 9, 5], [3, 4], [7, 8], [11, 12], [15, 16], [19, 20]], [[1, 12], [2, 11], [3, 14], [4, 13], [5, 16], [6, 15], [7, 17], [8, 18], [9, 19], [10, 20]]], 'isomorphism': [1509230580854705, 1664603181868867057, 1794182243653502950, 1662752238818186880], 'label': '20T157', 'n': 20, 'name': 't20n157', 'nilpotency': -1, 'num_conj_classes': 26, 'order': 800, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 2], 7], [8, [4, 3], 2], [8, [8, 3], 1], [16, [8, 9], 1], [16, [8, 11], 2], [32, [16, 37], 1], [400, [10, 27], 1]], 'siblings': [[[20, 157], 3], [[40, 682], 1], [[40, 687], 1], [[40, 694], 2], [[40, 725], 2], [[40, 728], 1], [[40, 729], 1], [[40, 739], 2], [[40, 746], 1], [[40, 753], 1], [[40, 759], 2]], 'solv': 1, 'subfields': [[[2, 1], 1], [[4, 3], 1], [[10, 27], 1]], 't': 157}