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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '168.42', 'arith_equiv': 0, 'aut_label': '2.1', 'aut_sg_no': 1, 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 42, 'gapidfull': '[168,42]', 'gens': [[[1, 10, 30, 22, 14, 40, 31], [2, 9, 29, 21, 13, 39, 32], [3, 11, 25, 19, 16, 41, 36], [4, 12, 26, 20, 15, 42, 35], [5, 7, 28, 23, 17, 37, 33], [6, 8, 27, 24, 18, 38, 34]], [[1, 28, 33], [2, 27, 34], [3, 30, 35], [4, 29, 36], [5, 25, 31], [6, 26, 32], [7, 10, 11], [8, 9, 12], [13, 41, 21], [14, 42, 22], [15, 40, 19], [16, 39, 20], [17, 38, 24], [18, 37, 23]]], 'isomorphism': [787776921233263713092741894290367700151035237912953, 1267932336169476529297658471310640556480711656431959], 'label': '42T37', 'n': 42, 'name': 't42n37', 'nilpotency': -1, 'num_conj_classes': 6, 'order': 168, 'parity': 1, 'pretty': '$\\PSL(2,7)$', 'prim': 0, 'quotients': [], 'siblings': [[[7, 5], 2], [[8, 37], 1], [[14, 10], 2], [[21, 14], 1], [[24, 284], 1], [[28, 32], 1], [[42, 38], 2]], 'solv': 0, 'subfields': [[[7, 5], 2], [[21, 14], 1]], 't': 37}