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gps_transitive • Show schema
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{'ab': 0, 'abstract_label': '324.121', 'arith_equiv': 0, 'aut_label': '3.1', 'auts': 3, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 121, 'gapidfull': '[324,121]', 'gens': [[[1, 22, 15, 36, 27, 10], [2, 23, 13, 35, 26, 11], [3, 24, 14, 34, 25, 12], [4, 32, 30, 19, 16, 8], [5, 33, 29, 21, 18, 7], [6, 31, 28, 20, 17, 9]], [[1, 8], [2, 7], [3, 9], [4, 23], [5, 24], [6, 22], [10, 29], [11, 28], [12, 30], [13, 19], [14, 21], [15, 20], [16, 36], [17, 34], [18, 35], [25, 32], [26, 31], [27, 33]], [[1, 3, 2], [10, 11, 12], [13, 15, 14], [22, 23, 24], [25, 26, 27], [34, 36, 35]]], 'isomorphism': [138273964856517693870164974426034190843147, 64126300358519281097537044190902502561996, 265629468109418960185121398877795760172925, 20666567295594946923517773028778101482484, 20670089881056340027985862964621696656596, 169895076431651429487240418603631054121355], 'label': '36T528', 'n': 36, 'name': 't36n528', 'nilpotency': -1, 'num_conj_classes': 21, 'order': 324, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 2], 1], [6, [3, 2], 5], [12, [6, 3], 5], [18, [9, 5], 1], [36, [6, 9], 4], [36, [18, 12], 1], [108, [9, 18], 1], [108, [18, 58], 1]], 'siblings': [[[18, 133], 1], [[18, 139], 1], [[27, 117], 3], [[27, 127], 1], [[36, 506], 1], [[36, 509], 1]], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 2], 1], [[6, 9], 1], [[12, 16], 1]], 't': 528}