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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '144.182', 'arith_equiv': 0, 'aut_label': '1.1', 'auts': 1, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 182, 'gapidfull': '[144,182]', 'gens': [[[1, 6, 4, 5, 2, 3, 8, 7]], [[1, 2], [3, 5], [6, 7]], [[1, 2, 9], [3, 4, 5], [6, 7, 8]], [[1, 4, 7], [2, 5, 8], [3, 6, 9]]], 'isomorphism': [215670, 41886, 154952, 43034, 307544, 77321], 'label': '9T19', 'n': 9, 'name': 'E(9):2D_8', 'nilpotency': -1, 'num_conj_classes': 9, 'order': 144, 'parity': -1, 'pretty': '$(C_3^2:C_8):C_2$', 'prim': 1, 'quotients': [[2, [2, 1], 3], [4, [4, 2], 1], [8, [4, 3], 1], [16, [8, 8], 1]], 'siblings': [[[12, 84], 1], [[18, 68], 1], [[18, 71], 1], [[18, 73], 1], [[24, 278], 1], [[24, 279], 1], [[24, 280], 1], [[36, 171], 1], [[36, 172], 1], [[36, 175], 1]], 'solv': 1, 'subfields': [], 't': 19}