{'ambient': '576.6353', 'aut_centralizer_order': None, 'aut_label': '6.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '144.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.o1.a1', '3.a1.a1'], 'contains': ['12.j1.a1', '12.bs1.a1', '12.bt1.a1', '12.bu1.a1', '12.bv1.a1', '12.bz1.a1', '12.cc1.a1', '18.o1.a1'], 'core': '12.j1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [145, 400, 288, 146, 156, 24], 'id': 109522201, 'label': '576.6353.6.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.o1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}