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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, 32, 34, 8], [2, 31, 33, 7], [3, 30, 35, 5, 4, 29, 36, 6], [9, 14, 26, 24], [10, 13, 25, 23], [11, 16, 28, 21, 12, 15, 27, 22], [17, 39, 19, 37], [18, 40, 20, 38]], [[1, 25], [2, 26], [3, 27], [4, 28], [5, 23], [6, 24], [7, 22], [8, 21], [9, 17], [10, 18], [11, 20], [12, 19], [13, 14], [15, 16], [29, 40], [30, 39], [31, 37], [32, 38]]], 'isomorphism': [586194906557313396399762367143965528301315365056, 669935429980105733573311665307934672545509408121], 'label': '40T11339', 'n': 40, 'name': 't40n11339', '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], 1], [[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], 2], [[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], [[4, 1], 1], [[5, 3], 1], [[10, 4], 1], [[20, 9], 1]], 't': 11339}
