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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '504.156', 'arith_equiv': 0, 'auts': 1, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 156, 'gapidfull': '[504,156]', 'gens': [[[1, 2, 6, 17, 19, 8, 4], [3, 10, 23, 12, 28, 25, 13], [5, 15, 9, 22, 20, 14, 18], [7, 16, 31, 30, 29, 21, 32], [11, 26, 34, 35, 27, 33, 24]], [[1, 4], [2, 8], [3, 11], [5, 14], [6, 19], [7, 21], [9, 22], [10, 24], [12, 27], [13, 26], [15, 20], [16, 29], [23, 33], [25, 34], [28, 35], [30, 31]], [[1, 3], [2, 7], [4, 13], [5, 12], [6, 18], [8, 9], [10, 14], [11, 26], [16, 23], [17, 31], [20, 32], [21, 22], [24, 27], [25, 29], [33, 34], [35, 36]]], 'label': '36T712', 'n': 36, 'name': 't36n712', 'nilpotency': -1, 'num_conj_classes': 9, 'order': 504, 'parity': 1, 'pretty': '$\\PSL(2,8)$', 'prim': 1, 'quotients': [], 'siblings': [[[9, 27], 1], [[28, 70], 1]], 'solv': 0, 'subfields': [], 't': 712}