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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '648.723', 'arith_equiv': 0, 'aut_label': '1.1', 'auts': 1, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 723, 'gapidfull': '[648,723]', 'gens': [[[1, 22, 7, 29, 14, 36, 20, 6, 27, 12, 31, 18], [2, 23, 9, 28, 15, 34, 19, 5, 25, 11, 32, 16], [3, 24, 8, 30, 13, 35, 21, 4, 26, 10, 33, 17]], [[1, 22, 2, 24, 3, 23], [4, 21], [5, 20], [6, 19], [7, 16], [8, 17], [9, 18], [10, 13, 11, 14, 12, 15], [25, 35, 26, 34, 27, 36], [28, 31], [29, 32], [30, 33]]], 'isomorphism': [297835630054227528214997929908442140536399, 96031517338897424345211395762917125054026, 201805725269245296836255532816638358247104, 20666567304132208352896844732234487943107, 20666822212130100088250799693207351440788, 20666822203593614219373894538969249962483, 138276672438981762806763176528267297248586], 'label': '36T1154', 'n': 36, 'name': 't36n1154', 'nilpotency': -1, 'num_conj_classes': 30, 'order': 648, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 2], 1], [6, [3, 2], 2], [8, [4, 3], 1], [12, [6, 3], 2], [24, [12, 12], 1], [24, [12, 13], 1], [36, [6, 9], 1], [72, [6, 13], 1], [72, [12, 38], 1], [216, [12, 116], 1], [216, [12, 118], 1]], 'siblings': [[[12, 169], 2], [[18, 210], 2], [[24, 1521], 2], [[24, 1533], 1], [[36, 1105], 2], [[36, 1106], 2], [[36, 1107], 2], [[36, 1153], 1], [[36, 1160], 1], [[36, 1167], 1], [[36, 1173], 1], [[36, 1190], 2], [[36, 1195], 2], [[36, 1225], 2]], 'solv': 1, 'subfields': [[[2, 1], 1], [[3, 2], 1], [[4, 3], 1], [[6, 3], 1], [[12, 12], 1], [[12, 120], 1], [[12, 169], 2]], 't': 1154}