{'ambient': '1120.784', 'aut_centralizer_order': 320, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.5', 'aut_weyl_index': 1280, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '20.a1.a1'], 'contains': ['80.b1.a1', '80.c1.a1', '80.c1.b1', '280.f1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6325, -1, 4034, -1, 1852, -1, 663, -1], 'generators': [1, 160, 564], 'id': 70009818, 'label': '1120.784.40.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '40.f1.a1', 'projective_image': '80.40', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}