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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '72.46', 'arith_equiv': 0, 'aut_label': '12.4', 'auts': 12, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 46, 'gapidfull': '[72,46]', 'gens': [[[1, 35, 6, 4, 33, 8], [2, 36, 5, 3, 34, 7], [9, 29, 13, 22, 18, 26], [10, 30, 14, 21, 17, 25], [11, 31, 16, 24, 20, 27], [12, 32, 15, 23, 19, 28]], [[1, 34], [2, 33], [3, 35], [4, 36], [5, 6], [7, 8], [9, 14], [10, 13], [11, 15], [12, 16], [17, 18], [19, 20], [21, 26], [22, 25], [23, 27], [24, 28], [29, 30], [31, 32]], [[1, 9], [2, 10], [3, 12], [4, 11], [5, 17], [6, 18], [7, 19], [8, 20], [13, 33], [14, 34], [15, 36], [16, 35], [21, 28], [22, 27], [23, 25], [24, 26], [29, 31], [30, 32]]], 'isomorphism': [350727661031328402576450067452096091785582, 361659932677974328298776577672328956394959, 148904815272309134277856188461266767667223], 'label': '36T40', 'n': 36, 'name': 't36n40', '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], 2], [[36, 40], 3]], 'solv': 1, 'subfields': [[[2, 1], 3], [[3, 2], 2], [[4, 2], 1], [[6, 2], 1], [[6, 3], 5], [[9, 8], 1], [[12, 3], 1], [[12, 10], 1], [[18, 11], 1], [[18, 29], 2]], 't': 40}