{'ambient': '5500.a', 'aut_centralizer_order': None, 'aut_label': '1100.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': ['5.c1'], 'conjugacy_class_count': 1, 'contained_in': ['100.b1', '220.a1', '220.d1', '550.b1'], 'contains': ['5500.a1'], 'core': '1100.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3796, 6879, 3930, 6887], 'generators': [1100], 'id': 67511386, 'label': '5500.a.1100.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '1100.b1', 'normal_contained_in': ['100.b1', '220.a1', '550.b1'], 'normal_contains': ['5500.a1'], 'normalizer': '1.a1', 'old_label': '1100.b1', 'projective_image': '5500.a', 'quotient_action_image': '2.1', 'quotient_action_kernel': '550.10', 'quotient_action_kernel_order': 550, 'quotient_fusion': None, 'short_label': '1100.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}