{'ambient': '1458.1361', 'aut_centralizer_order': 54, 'aut_label': '81.c1', 'aut_quo_index': None, 'aut_stab_index': 243, 'aut_weyl_group': '36.10', 'aut_weyl_index': 13122, 'centralizer': '1458.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.d1.d1', '27.d1.e1', '27.d1.f1', '27.e1.a1'], 'contains': ['162.d1.b1', '243.b1.b1', '243.d1.a1', '243.d1.b1', '243.e1.a1'], 'core': '486.a1.b1', 'coset_action_label': None, 'count': 81, 'diagramx': [8225, -1, 5658, -1, 1006, -1, 8867, -1], 'generators': [3, 60, 486], 'id': 76252308, 'label': '1458.1361.81.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '81.c1.b1', 'old_label': '81.c1.b1', 'projective_image': '1458.1361', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.c1.b1', 'subgroup_fusion': None, 'weyl_group': '18.4'}