{'ambient': '1944.3492', 'aut_centralizer_order': 432, 'aut_label': '18.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '144.182', 'aut_weyl_index': 432, 'centralizer': '36.a1', 'complements': ['108.a1', '108.p1', '108.o1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '9.a1'], 'contains': ['36.b1', '162.d1'], 'core': '18.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7664, 2529, 2938, 8301], 'generators': [54, 648, 36, 936, 216], 'id': 107638053, 'label': '1944.3492.18.a1', 'mobius_quo': 0, 'mobius_sub': -27, 'normal_closure': '18.a1', 'normal_contained_in': ['6.a1'], 'normal_contains': ['36.b1'], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': '648.715', 'quotient_action_image': '1.1', 'quotient_action_kernel': '18.4', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': '36.9'}