{'ambient': '100.13', 'aut_centralizer_order': 80, 'aut_label': '50.a1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '1.1', 'aut_weyl_index': 800, 'centralizer': '5.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.a1.b1', '10.b1.b1', '25.a1.a1'], 'contains': ['100.a1.a1'], 'core': '100.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [2157, -1, 6504, -1, 2733, -1, 8011, -1], 'generators': [1], 'id': 60452031, 'label': '100.13.50.a1.b1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '10.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.b1', 'old_label': '50.a1.b1', 'projective_image': '100.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}