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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '180.30', 'arith_equiv': 0, 'aut_label': '5.1', 'auts': 5, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 30, 'gapidfull': '[180,30]', 'gens': [[[1, 30], [2, 28], [3, 29], [4, 27], [5, 25], [6, 26], [7, 24], [8, 22], [9, 23], [10, 21], [11, 19], [12, 20], [13, 18], [14, 16], [15, 17]], [[1, 13, 10, 7, 4], [2, 15, 11, 9, 5, 3, 14, 12, 8, 6], [16, 28, 25, 22, 19], [17, 30, 26, 24, 20, 18, 29, 27, 23, 21]], [[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12], [13, 14, 15]]], 'isomorphism': [17989234479056436698814087806665, 256410694501135780079368031472450, 91568696846293810676669924511604], 'label': '30T43', 'n': 30, 'name': 't30n43', 'nilpotency': -1, 'num_conj_classes': 21, 'order': 180, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 2], 1], [6, [3, 2], 2], [10, [5, 2], 1], [12, [6, 3], 2], [20, [10, 3], 1], [36, [6, 9], 1], [60, [15, 7], 2]], 'siblings': [[[45, 21], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[5, 2], 1], [[6, 9], 1], [[10, 2], 1]], 't': 43}