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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '40.13', 'arith_equiv': 0, 'auts': 40, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 13, 'gapidfull': '[40,13]', 'gens': [[[1, 29], [2, 30], [3, 32], [4, 31], [5, 27], [6, 28], [7, 26], [8, 25], [9, 24], [10, 23], [11, 22], [12, 21], [13, 19], [14, 20], [15, 17], [16, 18], [33, 38], [34, 37], [35, 39], [36, 40]], [[1, 2], [3, 4], [5, 6], [7, 8], [9, 10], [11, 12], [13, 14], [15, 16], [17, 18], [19, 20], [21, 22], [23, 24], [25, 26], [27, 28], [29, 30], [31, 32], [33, 34], [35, 36], [37, 38], [39, 40]], [[1, 18], [2, 17], [3, 19], [4, 20], [5, 15], [6, 16], [7, 14], [8, 13], [9, 12], [10, 11], [21, 38], [22, 37], [23, 40], [24, 39], [25, 36], [26, 35], [27, 33], [28, 34], [29, 32], [30, 31]]], 'label': '40T10', 'n': 40, 'name': 't40n10', 'nilpotency': -1, 'num_conj_classes': 16, 'order': 40, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 2], 7], [8, [8, 3], 1], [10, [5, 2], 1], [20, [10, 3], 3]], 'siblings': [[[20, 8], 4]], 'solv': 1, 'subfields': [[[2, 1], 7], [[4, 2], 7], [[5, 2], 1], [[8, 3], 1], [[10, 2], 1], [[10, 3], 6], [[20, 4], 3], [[20, 8], 4]], 't': 10}