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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '243.58', 'arith_equiv': 0, 'aut_label': '3.1', 'auts': 3, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 58, 'gapidfull': '[243,58]', 'gens': [[[10, 11, 12], [13, 14, 15], [16, 17, 18], [19, 21, 20], [22, 24, 23], [25, 27, 26]], [[1, 10, 19], [2, 11, 20], [3, 12, 21], [4, 14, 22], [5, 15, 23], [6, 13, 24], [7, 18, 25], [8, 16, 26], [9, 17, 27]], [[1, 22, 16], [2, 23, 17], [3, 24, 18], [4, 25, 10], [5, 26, 11], [6, 27, 12], [7, 19, 13], [8, 20, 14], [9, 21, 15]]], 'isomorphism': [376703666922484, 1258350440041746905808142674, 26980883982053837383200, 10873276034923998302434686864], 'label': '27T96', 'n': 27, 'name': 't27n96', 'nilpotency': 3, 'num_conj_classes': 35, 'order': 243, 'parity': 1, 'prim': 0, 'quotients': [[3, [3, 1], 13], [9, [9, 2], 13], [27, [9, 7], 3], [27, [27, 4], 1], [81, [27, 18], 1]], 'siblings': [[[27, 97], 9]], 'solv': 1, 'subfields': [[[3, 1], 4], [[9, 2], 1]], 't': 96}