{'ambient': '512.46623', 'aut_centralizer_order': 2, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2048.cqe', 'aut_weyl_index': 4, 'centralizer': '256.a1.a1', 'complements': ['256.d1.a1', '256.e1.a1', '256.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.b1', '4.e1.a1', '4.p1.b1', '4.q1.b1'], 'core': '2.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3073, 3294, 6030, 3142, 3078, 3433, 6018, 3199], 'generators': [1, 12, 352], 'id': 67230184, 'label': '512.46623.2.d1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.c1.b1', '4.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.b1', 'projective_image': '256.2416', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.b1', 'subgroup_fusion': None, 'weyl_group': '256.2416'}