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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '80.37', 'arith_equiv': 0, 'auts': 4, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 37, 'gapidfull': '[80,37]', 'gens': [[[1, 35], [2, 36], [3, 33], [4, 34], [5, 29], [6, 30], [7, 32], [8, 31], [9, 28], [10, 27], [11, 26], [12, 25], [13, 21], [14, 22], [15, 23], [16, 24], [19, 20], [37, 38]], [[1, 29, 20, 6, 36, 21, 12, 37, 26, 14], [2, 30, 19, 5, 35, 22, 11, 38, 25, 13], [3, 32, 17, 7, 33, 24, 9, 39, 28, 16], [4, 31, 18, 8, 34, 23, 10, 40, 27, 15]], [[1, 31, 19, 7, 36, 23, 11, 39, 26, 15, 2, 32, 20, 8, 35, 24, 12, 40, 25, 16], [3, 29, 18, 5, 33, 21, 10, 38, 28, 14, 4, 30, 17, 6, 34, 22, 9, 37, 27, 13]]], 'label': '40T38', 'n': 40, 'name': 't40n38', 'nilpotency': -1, 'num_conj_classes': 26, 'order': 80, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 2], 7], [8, [4, 3], 2], [8, [8, 3], 1], [10, [5, 2], 1], [16, [8, 9], 1], [20, [10, 3], 3], [40, [20, 8], 1], [40, [20, 10], 2]], 'siblings': [[[40, 38], 3]], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 2], 1], [[4, 3], 2], [[5, 2], 1], [[8, 9], 1], [[10, 3], 3], [[20, 8], 1], [[20, 10], 2]], 't': 38}