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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '80.40', 'arith_equiv': 0, 'aut_label': '20.1', 'auts': 20, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 40, 'gapidfull': '[80,40]', 'gens': [[[1, 31, 20, 7, 36, 24, 12, 37, 27, 16, 2, 32, 19, 8, 35, 23, 11, 38, 28, 15], [3, 29, 17, 5, 34, 22, 9, 39, 25, 13, 4, 30, 18, 6, 33, 21, 10, 40, 26, 14]], [[1, 15, 27, 37, 11, 23, 36, 7, 19, 32], [2, 16, 28, 38, 12, 24, 35, 8, 20, 31], [3, 14, 25, 39, 10, 21, 34, 5, 18, 30], [4, 13, 26, 40, 9, 22, 33, 6, 17, 29]], [[1, 30, 2, 29], [3, 31, 4, 32], [5, 28, 6, 27], [7, 25, 8, 26], [9, 23, 10, 24], [11, 21, 12, 22], [13, 19, 14, 20], [15, 18, 16, 17], [33, 37, 34, 38], [35, 40, 36, 39]]], 'isomorphism': [480954487221811702451614524142631458679928638662, 167480387375418421692321381776176741103667093096, 397200508797209890703320335236966913412345615937], 'label': '40T21', 'n': 40, 'name': 't40n21', 'nilpotency': -1, 'num_conj_classes': 20, 'order': 80, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 2], 7], [8, [8, 3], 1], [10, [5, 2], 1], [16, [8, 11], 1], [20, [10, 3], 3], [40, [20, 8], 1]], 'siblings': [[[40, 21], 1], [[40, 35], 1]], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 2], 1], [[5, 2], 1], [[8, 11], 1], [[10, 2], 1], [[10, 3], 2], [[20, 4], 1]], 't': 21}