{'ambient': '972.713', 'aut_centralizer_order': 6, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '52488.sz', 'aut_weyl_index': 6, 'centralizer': '27.a1', 'complements': ['243.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['12.a1', '12.b1', '12.c1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1560, 8383, 1057, 745], 'generators': [1, 3, 108], 'id': 115733091, 'label': '972.713.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['12.a1', '12.b1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '108.30', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '27.3'}