{'ambient': '1056.940', 'aut_centralizer_order': 4, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '528.a1', 'complements': ['264.h1'], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '2.c1', '2.d1'], 'contains': ['8.a1', '8.b1', '8.c1', '8.h1', '12.d1', '44.d1'], 'core': '4.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1611, 5825, 1132, 3719], 'generators': [13, 528, 532, 570, 96], 'id': 69626134, 'label': '1056.940.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.b1', '2.c1', '2.d1'], 'normal_contains': ['8.a1', '8.b1', '8.c1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '528.164', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '528.164'}