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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '144.136', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 136, 'gapidfull': '[144,136]', 'gens': [[[1, 12], [4, 5], [8, 9]], [[1, 5, 9], [4, 8, 12]], [[2, 10], [3, 11], [4, 8], [5, 9]], [[1, 7], [2, 8, 10, 4], [3, 9, 11, 5], [6, 12]]], 'isomorphism': [263500650, 139571780, 283446267], 'label': '12T82', 'n': 12, 'name': '[(1/4.2^3)^2]F_36(6)', 'nilpotency': -1, 'num_conj_classes': 18, 'order': 144, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 1], 2], [4, [4, 2], 1], [8, [4, 3], 2], [8, [8, 2], 1], [16, [8, 10], 1], [36, [6, 10], 1], [72, [12, 40], 1]], 'siblings': [[[12, 82], 7], [[24, 272], 4], [[24, 273], 4], [[24, 274], 4], [[36, 126], 2], [[36, 141], 2]], 'solv': 1, 'subfields': [[[2, 1], 1], [[4, 3], 1], [[6, 10], 1]], 't': 82}