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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '432.251', 'arith_equiv': 0, 'aut_label': '12.1', 'auts': 12, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 251, 'gapidfull': '[432,251]', 'gens': [[[1, 13, 8, 12, 33, 19, 2, 14, 7, 11, 34, 20], [3, 15, 5, 10, 36, 17, 4, 16, 6, 9, 35, 18], [21, 25, 22, 26], [23, 27, 24, 28], [29, 31, 30, 32]], [[1, 4, 2, 3], [5, 34, 6, 33], [7, 35, 8, 36], [9, 25, 17, 32, 15, 23], [10, 26, 18, 31, 16, 24], [11, 27, 19, 29, 13, 22], [12, 28, 20, 30, 14, 21]]], 'isomorphism': [191454124119129065692037391014739268252793, 286894675089863113706690991001707479408040, 340403179360994926941399201764324195886592, 74139481483442271101248007630527535409222], 'label': '36T572', 'n': 36, 'name': 't36n572', 'nilpotency': -1, 'num_conj_classes': 38, 'order': 432, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [3, [3, 1], 1], [4, [4, 1], 1], [6, [3, 2], 1], [6, [6, 1], 1], [12, [12, 1], 1], [12, [12, 5], 1], [18, [6, 5], 1], [24, [4, 5], 1], [36, [12, 19], 1], [48, [12, 27], 1], [54, [9, 11], 1], [72, [12, 45], 1], [108, [36, 70], 1], [144, [36, 104], 1], [216, [18, 97], 1]], 'siblings': [[[36, 574], 1], [[36, 656], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[3, 2], 1], [[6, 2], 1], [[9, 11], 1], [[12, 30], 1], [[18, 21], 1]], 't': 572}