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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '20480.e', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 0, 'gapidfull': '', 'gens': [[[1, 16], [2, 15], [3, 13], [4, 14], [5, 32], [6, 31], [7, 30], [8, 29], [9, 27], [10, 28], [11, 26], [12, 25], [19, 20], [21, 35], [22, 36], [23, 33], [24, 34], [39, 40]], [[1, 34, 32, 40, 21, 14, 11, 19], [2, 33, 31, 39, 22, 13, 12, 20], [3, 35, 30, 37, 23, 15, 9, 17], [4, 36, 29, 38, 24, 16, 10, 18], [5, 28], [6, 27], [7, 26, 8, 25]]], 'isomorphism': [669921581137309813919050394164426326400388501057, 753675230109218577789834938519051744833378980503], 'label': '40T12878', 'n': 40, 'name': 't40n12878', 'nilpotency': -1, 'num_conj_classes': 74, 'order': 20480, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 1], 2], [4, [4, 2], 1], [8, [4, 3], 2], [8, [8, 2], 1], [16, [8, 10], 1], [20, [5, 3], 1], [40, [10, 5], 1], [80, [20, 19], 1], [320, [10, 24], 1], [640, [10, 29], 1], [1280, [20, 191], 1], [10240, [20, 416], 1]], 'siblings': [[[20, 514], 4], [[20, 530], 4], [[40, 11336], 4], [[40, 11339], 2], [[40, 11360], 2], [[40, 11364], 2], [[40, 11373], 2], [[40, 11378], 2], [[40, 11390], 4], [[40, 11391], 4], [[40, 12858], 2], [[40, 12860], 4], [[40, 12876], 2], [[40, 12878], 1], [[40, 12880], 2], [[40, 12988], 2], [[40, 12991], 2], [[40, 12992], 4], [[40, 13368], 2], [[40, 13429], 2], [[40, 13440], 4], [[40, 13454], 4], [[40, 13593], 2], [[40, 13608], 2], [[40, 14049], 4], [[40, 14050], 4], [[40, 14163], 2], [[40, 14167], 2], [[40, 14170], 2], [[40, 14175], 2]], 'solv': 1, 'subfields': [[[2, 1], 1], [[5, 3], 1], [[10, 4], 1], [[10, 24], 1], [[10, 25], 1], [[20, 79], 1]], 't': 12878}
