{'ambient': '128.761', 'aut_centralizer_order': 256, 'aut_label': '16.b1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.b1', '8.h1', '8.i1'], 'contains': ['32.b1', '32.c1', '32.h1'], 'core': '16.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [5062, 5949, 5149, 6205], 'generators': [76, 72, 16], 'id': 8208897, 'label': '128.761.16.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.b1'], 'normal_contains': ['32.b1', '32.c1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '64.74', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}