{'ambient': '432.405', 'aut_centralizer_order': 6, 'aut_label': '6.f1', 'aut_quo_index': 2, 'aut_stab_index': 12, 'aut_weyl_group': '48.45', 'aut_weyl_index': 72, 'centralizer': '12.b1', 'complements': ['72.f1', '72.c1'], 'conjugacy_class_count': 12, 'contained_in': ['2.c1', '3.b1'], 'contains': ['12.d1', '12.f1', '18.c1'], 'core': '6.f1', 'coset_action_label': None, 'count': 12, 'diagramx': [3085, 9506, 4310, 7613], 'generators': [7, 144, 324, 52, 216], 'id': 58384301, 'label': '432.405.6.f1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.f1', 'normal_contained_in': ['2.c1', '3.b1'], 'normal_contains': ['12.d1', '12.f1', '18.c1'], 'normalizer': '1.a1', 'old_label': '6.f1', 'projective_image': '72.50', 'quotient_action_image': '6.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '6.f1', 'subgroup_fusion': None, 'weyl_group': '12.5'}