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{'ab': 0, 'abstract_label': '512.7530050', 'arith_equiv': 0, 'auts': 8, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 7530050, 'gapidfull': '', 'gens': [[[1, 28, 17, 10], [2, 27, 18, 9], [3, 26, 19, 12], [4, 25, 20, 11], [5, 6], [7, 8], [13, 14], [15, 16], [21, 22], [23, 24], [29, 30], [31, 32]], [[1, 21, 27, 29, 17, 7, 9, 15], [2, 22, 28, 30, 18, 8, 10, 16], [3, 23, 25, 31, 19, 5, 11, 13], [4, 24, 26, 32, 20, 6, 12, 14]], [[1, 14, 9, 24, 17, 32, 27, 6], [2, 13, 10, 23, 18, 31, 28, 5], [3, 16, 11, 22, 19, 30, 25, 8], [4, 15, 12, 21, 20, 29, 26, 7]], [[1, 32], [2, 31], [3, 30], [4, 29], [5, 10, 23, 28], [6, 9, 24, 27], [7, 12, 21, 26], [8, 11, 22, 25], [13, 18], [14, 17], [15, 20], [16, 19]], [[1, 16, 27, 8, 17, 30, 9, 22], [2, 15, 28, 7, 18, 29, 10, 21], [3, 14, 25, 6, 19, 32, 11, 24], [4, 13, 26, 5, 20, 31, 12, 23]]], 'isomorphism': [50965158270156504892366019128497216, 90466448678085419544436094016, 486425209608748435749120, 25207896932934229344716810326862783, 152932174590349266983668373358182400, 220910034671698589654666053105624320, 486427006798315065918736, 135955855862912150358218230312638720, 135956014146744814611885707121726736], 'label': '32T12882', 'n': 32, 'name': 't32n12882', 'nilpotency': 4, 'num_conj_classes': 80, 'order': 512, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 31], [4, [4, 2], 155], [8, [4, 3], 24], [8, [8, 3], 155], [16, [8, 9], 84], [16, [16, 3], 31], [32, [8, 18], 16], [32, [16, 25], 42], [32, [32, 39], 1], [64, [8, 29], 4], [64, [16, 105], 12], [64, [32, 273], 3], [128, [8, 35], 4], [128, [16, 245], 6], [128, [32, 1369], 1], [256, [16, 509], 6], [256, [32, 4287], 1]], 'siblings': [[[32, 12882], 127], [[32, 12885], 384]], 'solv': 1, 'subfields': [[[2, 1], 7], [[4, 2], 7], [[4, 3], 4], [[8, 3], 1], [[8, 9], 6], [[8, 35], 4], [[16, 25], 1], [[16, 509], 6]], 't': 12882}
