{'ambient': '52488.qg', 'aut_centralizer_order': None, 'aut_label': '648.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.B', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['216.A', '216.C', '216.BP', '216.BT', '216.BU', '324.A', '324.N', '324.BP', '324.CO', '324.DG', '324.EE', '324.HB'], 'contains': ['1944.A', '1944.B', '1944.C', '1944.G', '1944.K', '1944.L', '1944.CC'], 'core': '648.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6048, 1944, 40824], 'id': 225789703, 'label': '52488.qg.648.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '648.A', 'normal_contained_in': ['216.A', '216.C', '324.A'], 'normal_contains': ['1944.A', '1944.B', '1944.C'], 'normalizer': '1.a1', 'old_label': '648.a1', 'projective_image': '52488.qg', 'quotient_action_image': '24.15', 'quotient_action_kernel': '27.2', 'quotient_action_kernel_order': 27, 'quotient_fusion': None, 'short_label': '648.A', 'subgroup_fusion': None, 'weyl_group': '24.15'}