{'ambient': '1296.157', 'aut_centralizer_order': 1296, 'aut_label': '108.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 3888, 'centralizer': '12.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '54.c1.a1', '54.f1.a1', '54.g1.a1'], 'contains': ['216.b1.a1', '324.a1.a1'], 'core': '324.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7094, -1, 7064, -1, 7137, -1, 6716, -1], 'generators': [324, 468, 648], 'id': 70719439, 'label': '1296.157.108.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '108.f1.a1', 'projective_image': '648.77', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}