{'ambient': '800.1194', 'aut_centralizer_order': 16, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '20.3', 'aut_weyl_index': 960, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.c1', '20.b1', '20.d1'], 'contains': ['80.e1', '200.e1'], 'core': '800.a1', 'coset_action_label': '40T757', 'count': 60, 'diagramx': [5701, -1, 5671, -1], 'generators': [1563129, 391271, 1172503], 'id': 116061943, 'label': '800.1194.40.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.a1', 'old_label': '40.f1', 'projective_image': '800.1194', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1', 'subgroup_fusion': None, 'weyl_group': '20.3'}