{'ambient': '16.13', 'aut_centralizer_order': 48, 'aut_label': '8.a1', 'aut_quo_index': 28, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.a1.b1', '4.a1.c1', '4.b1.a1', '4.c1.a1', '4.c1.b1', '4.c1.c1'], 'contains': ['16.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2789, 6044, 5059, 5340, 2863, 5763, 5059, 5339], 'generators': [504], 'id': 62795936, 'label': '16.13.8.a1.a1', 'mobius_quo': -1, 'mobius_sub': -8, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.c1', '4.a1.b1', '4.a1.a1', '4.b1.a1', '4.c1.c1', '4.c1.a1', '4.c1.b1'], 'normal_contains': ['16.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '8.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}