{'ambient': '800.1194', 'aut_centralizer_order': 16, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '40.12', 'aut_weyl_index': 480, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '10.a1'], 'contains': ['40.c1', '40.g1', '100.c1'], 'core': '400.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [6493, -1, 6180, -1], 'generators': [641344, 1875649, 1565004, 703771], 'id': 116061933, 'label': '800.1194.20.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.a1', 'old_label': '20.c1', 'projective_image': '400.207', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': '20.3'}