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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '820.7', 'arith_equiv': 0, 'aut_label': '1.1', 'auts': 1, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 7, 'gapidfull': '[820,7]', 'gens': [[[1, 36, 25, 39, 10, 32, 4, 21, 18, 33, 40, 5, 16, 2, 31, 9, 37, 20, 23, 8], [3, 26, 34, 35, 30, 14, 12, 22, 13, 17, 38, 15, 7, 6, 11, 27, 29, 19, 28, 24]], [[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, 41]]], 'isomorphism': [150407309381697526941407722669412536288349223720, 4184251671651577530966213205720279462522104701400], 'label': '41T7', 'n': 41, 'name': 't41n7', 'nilpotency': -1, 'num_conj_classes': 22, 'order': 820, 'parity': 1, 'pretty': '$C_{41}:C_{20}$', 'prim': 1, 'quotients': [[2, [2, 1], 1], [4, [4, 1], 1], [5, [5, 1], 1], [10, [10, 1], 1], [20, [20, 1], 1]], 'siblings': [], 'solv': 1, 'subfields': [], 't': 7, 'transitivity': 1}