{'ambient': '243.43', 'aut_centralizer_order': 81, 'aut_label': '9.d1', 'aut_quo_index': 24, 'aut_stab_index': 4, 'aut_weyl_group': '18.3', 'aut_weyl_index': 324, 'centralizer': '9.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '3.c1.c1', '3.e1.a1', '3.e1.c1'], 'contains': ['27.b1.a1', '27.d1.a1'], 'core': '9.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4233, 4555, 6090, 6444, 4100, 4556, 6090, 6445], 'generators': [28, 171], 'id': 20992636, 'label': '243.43.9.d1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.d1.a1', 'normal_contained_in': ['3.a1.a1', '3.e1.a1', '3.e1.c1', '3.c1.c1'], 'normal_contains': ['27.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '9.d1.a1', 'projective_image': '27.5', 'quotient_action_image': '9.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '9.d1.a1', 'subgroup_fusion': None, 'weyl_group': '9.2'}