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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '72.44', 'arith_equiv': 0, 'aut_label': '12.4', 'auts': 12, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 44, 'gapidfull': '[72,44]', 'gens': [[[1, 13, 27, 3, 16, 25], [2, 14, 28, 4, 15, 26], [5, 9, 31, 33, 19, 21], [6, 10, 32, 34, 20, 22], [7, 12, 29, 36, 17, 23], [8, 11, 30, 35, 18, 24]], [[1, 34, 7], [2, 33, 8], [3, 36, 6], [4, 35, 5], [9, 17, 15, 10, 18, 16], [11, 20, 14, 12, 19, 13], [21, 29, 28, 22, 30, 27], [23, 31, 25, 24, 32, 26]]], 'isomorphism': [127656677871192590485347539604795710094593, 10904406563691366305216681640, 340394487829379207359459433525745958446593], 'label': '36T21', 'n': 36, 'name': 't36n21', 'nilpotency': -1, 'num_conj_classes': 12, 'order': 72, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [3, [3, 1], 1], [6, [3, 2], 1], [6, [6, 1], 1], [12, [4, 4], 1], [18, [6, 5], 1], [24, [6, 6], 1]], 'siblings': [[[12, 43], 1], [[18, 31], 1], [[18, 32], 1], [[24, 78], 1], [[24, 83], 1], [[36, 50], 1], [[36, 51], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[3, 1], 1], [[3, 2], 1], [[6, 1], 1], [[6, 2], 1], [[6, 4], 1], [[6, 5], 1], [[6, 6], 1], [[9, 4], 1], [[12, 7], 1], [[18, 3], 1], [[18, 31], 1], [[18, 32], 1]], 't': 21}