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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '450.20', 'arith_equiv': 0, 'aut_label': '15.1', 'auts': 15, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 20, 'gapidfull': '[450,20]', 'gens': [[[1, 16, 3, 17, 2, 18], [4, 6, 5], [7, 38, 8, 37, 9, 39], [10, 27, 12, 25, 11, 26], [13, 15, 14], [19, 34, 21, 35, 20, 36], [22, 24, 23], [28, 45, 30, 43, 29, 44], [31, 33, 32], [40, 42, 41]], [[1, 26, 4], [2, 25, 6], [3, 27, 5], [7, 33, 30], [8, 31, 29], [9, 32, 28], [10, 36, 13], [11, 35, 15], [12, 34, 14], [16, 40, 38], [17, 41, 37], [18, 42, 39], [19, 44, 22], [20, 43, 24], [21, 45, 23]]], 'isomorphism': [1028674862269168051217928506884152041111517670164933, 43460197027512906892878749739579169408466255694755256267, 54278333491030794373730729428973424958943800639150478037, 24481443805557247570435082074855669338246304658559726147], 'label': '45T70', 'n': 45, 'name': 't45n70', 'nilpotency': -1, 'num_conj_classes': 39, 'order': 450, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [3, [3, 1], 1], [6, [3, 2], 1], [6, [6, 1], 1], [18, [6, 5], 1], [150, [15, 13], 1]], 'siblings': [[[45, 71], 1]], 'solv': 1, 'subfields': [[[3, 1], 1], [[3, 2], 1], [[9, 4], 1], [[15, 13], 1]], 't': 70}