{'ambient': '1120.784', 'aut_centralizer_order': 320, 'aut_label': '20.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.45', 'aut_weyl_index': 320, 'centralizer': '4.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '10.a1.a1', '10.e1.a1', '10.e1.b1'], 'contains': ['40.a1.a1', '40.d1.a1', '140.c1.a1'], 'core': '20.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3082, 7047, 5228, 1899, 6853, 6401, 5189, 7186], 'generators': [41, 160, 4, 560], 'id': 70009786, 'label': '1120.784.20.c1.a1', 'mobius_quo': 0, 'mobius_sub': -10, 'normal_closure': '20.c1.a1', 'normal_contained_in': ['4.c1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '140.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.c1.a1', 'projective_image': '40.13', 'quotient_action_image': '4.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '20.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}