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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '640.21536', 'arith_equiv': 0, 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 21536, 'gapidfull': '[640,21536]', 'gens': [[[5, 10]], [[1, 7, 9, 3], [2, 4, 8, 6]], [[1, 3, 5, 7, 9], [2, 4, 6, 8, 10]]], 'label': '10T29', 'n': 10, 'name': '[2^5]F(5)', 'nilpotency': -1, 'num_conj_classes': 22, 'order': 640, 'parity': -1, 'pretty': '$((C_2^4 : C_5):C_4)\\times C_2$', 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 1], 2], [4, [4, 2], 1], [8, [8, 2], 1], [20, [5, 3], 1], [40, [10, 5], 1], [320, [10, 24], 1]], 'siblings': [[[10, 29], 1], [[20, 129], 1], [[20, 131], 2], [[20, 132], 1], [[20, 133], 1], [[20, 134], 1], [[20, 135], 1], [[20, 137], 2], [[20, 140], 1], [[32, 34608], 2], [[40, 460], 1], [[40, 462], 1], [[40, 473], 1], [[40, 474], 1], [[40, 475], 1], [[40, 476], 1], [[40, 487], 1], [[40, 488], 1], [[40, 489], 1], [[40, 490], 1], [[40, 557], 1], [[40, 558], 2], [[40, 561], 1], [[40, 562], 1], [[40, 563], 1], [[40, 564], 1], [[40, 565], 1], [[40, 566], 1], [[40, 567], 2], [[40, 576], 1], [[40, 577], 1], [[40, 578], 1], [[40, 579], 1], [[40, 586], 1]], 'solv': 1, 'subfields': [[[5, 3], 1]], 't': 29}