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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '72.46', 'arith_equiv': 0, 'aut_label': '4.2', 'auts': 4, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 46, 'gapidfull': '[72,46]', 'gens': [[[1, 3], [2, 4], [5, 7], [6, 8], [9, 21], [10, 22], [11, 23], [12, 24], [13, 26], [14, 25], [15, 28], [16, 27], [17, 29], [18, 30], [19, 31], [20, 32], [33, 36], [34, 35]], [[1, 21], [2, 22], [3, 24], [4, 23], [5, 32], [6, 31], [7, 30], [8, 29], [9, 16], [10, 15], [11, 14], [12, 13], [25, 35], [26, 36], [27, 33], [28, 34]], [[1, 8, 33, 2, 7, 34], [3, 6, 36, 4, 5, 35], [9, 15, 18, 10, 16, 17], [11, 13, 19, 12, 14, 20], [21, 28, 30, 22, 27, 29], [23, 26, 31, 24, 25, 32]]], 'isomorphism': [21256999462531034330002054603564440494137, 371984380341727760291434177750491117884857, 137981176499980336914604149502709137449616], 'label': '36T34', 'n': 36, 'name': 't36n34', 'nilpotency': -1, 'num_conj_classes': 18, 'order': 72, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 2], 7], [6, [3, 2], 2], [8, [8, 3], 1], [12, [6, 3], 6], [24, [12, 10], 2], [36, [6, 9], 1]], 'siblings': [[[12, 37], 2], [[18, 29], 4], [[24, 73], 1], [[36, 34], 1], [[36, 40], 4]], 'solv': 1, 'subfields': [[[2, 1], 3], [[3, 2], 2], [[4, 2], 1], [[6, 3], 6], [[6, 9], 1], [[9, 8], 1], [[12, 10], 2], [[12, 37], 1], [[18, 9], 1], [[18, 29], 2]], 't': 34}