{'ambient': '560.167', 'aut_centralizer_order': 64, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 64, 'centralizer': '1.a1.a1', 'complements': ['35.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.a1.b1', '8.b1.a1', '8.c1.a1', '8.c1.b1', '8.c1.c1', '8.c1.d1'], 'contains': ['80.a1.a1', '112.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9451, 9190, 8662, 441, 2022, 876, 7884, 7797], 'generators': [336, 80], 'id': 108147510, 'label': '560.167.16.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.a1.b1', '8.b1.a1'], 'normal_contains': ['80.a1.a1', '112.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '16.11', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.11', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}