{'ambient': '1600.5492', 'aut_centralizer_order': 80, 'aut_label': '10.c1', 'aut_quo_index': 1, 'aut_stab_index': 24, 'aut_weyl_group': '512.266220', 'aut_weyl_index': 1920, 'centralizer': '4.b1', 'complements': ['160.a1'], 'conjugacy_class_count': 24, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.e1', '20.f1', '50.c1'], 'core': '10.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [7794, 538, 8613, 8461], 'generators': [11, 800, 8, 20, 1000, 400], 'id': 78017072, 'label': '1600.5492.10.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.c1', 'normal_contained_in': ['2.c1', '5.a1'], 'normal_contains': ['20.e1', '20.f1', '50.c1'], 'normalizer': '1.a1', 'old_label': '10.c1', 'projective_image': '40.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '10.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}