{'ambient': '1440.1381', 'aut_centralizer_order': 576, 'aut_label': '40.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '96.189', 'aut_weyl_index': 576, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '20.a1', '20.b1', '20.c1'], 'contains': ['80.a1', '120.c1'], 'core': '40.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [1525, 7958, 1522, 8249], 'generators': [360, 728, 960, 720], 'id': 74868799, 'label': '1440.1381.40.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.c1', 'normal_contained_in': ['8.c1', '20.a1', '20.b1', '20.c1'], 'normal_contains': ['80.a1', '120.c1'], 'normalizer': '1.a1', 'old_label': '40.c1', 'projective_image': '720.359', 'quotient_action_image': '4.2', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}