{'ambient': '1024.ddn', 'aut_centralizer_order': None, 'aut_label': '32.BAP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.G', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.CQ', '16.MR', '16.NP', '16.PI', '16.VB', '16.YC', '16.BBP', '16.BBQ', '16.BCU', '16.BHY', '16.BIM', '16.BKT', '16.BKV', '16.BLK', '16.BLM'], 'contains': ['64.EL', '64.ER', '64.EW', '64.FM', '64.FN', '64.GK', '64.GO'], 'core': '128.D', 'coset_action_label': None, 'count': 16, 'diagramx': [5988, -1, 5989, -1], 'generators': [40284840, 4103606712376, 18133084564416, 302819767, 1313941673647], 'id': 118453663, 'label': '1024.ddn.32.BAP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BS', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '32.wr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BAP', 'subgroup_fusion': None, 'weyl_group': None}