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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, 17, 13, 28, 25, 4], [2, 16, 15, 30, 26, 6], [3, 18, 14, 29, 27, 5], [7, 22, 21, 36, 33, 11], [8, 23, 20, 35, 31, 12], [9, 24, 19, 34, 32, 10]], [[1, 28, 20, 12, 2, 29, 21, 10, 3, 30, 19, 11], [4, 7, 24, 26, 5, 9, 22, 27, 6, 8, 23, 25], [13, 17, 32, 36, 15, 18, 31, 35, 14, 16, 33, 34]]], 'isomorphism': [308165790020080277848194864553590997303559, 95739552126356577481078856436627784776507, 191472314162875567874709730992372356224706, 20666822212130100063525094604162160810484, 20666567304132208328166517129535664237603, 265924964094243653095367173636980952684825, 10628652136785279783824417138032765639204], 'label': '36T1160', 'n': 36, 'name': 't36n1160', '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, 1154], 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, 13], 1], [[12, 118], 1], [[12, 169], 2]], 't': 1160}