{'ambient': '1024.ddn', 'aut_centralizer_order': None, 'aut_label': '32.BAS', '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.FG', '16.IP', '16.MU', '16.QN', '16.QS', '16.YB', '16.ZG', '16.ZS', '16.BCR', '16.BFI', '16.BHR', '16.BIF', '16.BKK', '16.BLN', '16.BLO'], 'contains': ['64.EM', '64.ET', '64.FB', '64.FQ', '64.FZ', '64.HC', '64.JA'], 'core': '256.A', 'coset_action_label': None, 'count': 16, 'diagramx': [7690, -1, 7692, -1], 'generators': [40284840, 16825409833662, 19614899445118, 18132997461703, 1313941673647], 'id': 118453666, 'label': '1024.ddn.32.BAS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BB', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '32.wu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BAS', 'subgroup_fusion': None, 'weyl_group': None}