{'ambient': '1200.1038', 'aut_centralizer_order': 11520, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 7, 'aut_weyl_group': '8.2', 'aut_weyl_index': 80640, 'centralizer': '2.b1', 'complements': ['30.d1'], 'conjugacy_class_count': 7, 'contained_in': ['8.a1', '20.b1', '20.d1'], 'contains': ['80.a1', '120.a1', '200.a1'], 'core': '40.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [6776, 3498, 7730, 4096], 'generators': [20, 8, 800], 'id': 70110731, 'label': '1200.1038.40.a1', 'mobius_quo': -1, 'mobius_sub': 40, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.b1'], 'normal_contains': ['80.a1', '120.a1', '200.a1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '120.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}