{'ambient': '1296.1100', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '648.a1.a1', 'complements': ['648.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.b1', '4.a1.c1', '4.b1.b1', '6.b1.c1', '6.f1.c1'], 'core': '2.b1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5205, 5485, 3424, 5704, 4155, 4901, 2100, 4463], 'generators': [3, 1008, 660, 324, 432, 2, 648], 'id': 70621009, 'label': '1296.1100.2.b1.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.c1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.b1', '4.a1.c1', '4.b1.b1', '6.b1.c1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.c1', 'projective_image': '648.331', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.c1', 'subgroup_fusion': None, 'weyl_group': '648.331'}