{'ambient': '512.46623', 'aut_centralizer_order': 16, 'aut_label': '4.d1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '512.519989', 'aut_weyl_index': 16, 'centralizer': '32.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.e1.a1', '2.e1.b1'], 'contains': ['8.c1.a1', '8.l1.a1', '8.m1.a1', '8.z1.a1', '8.bp1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5836, 7441, 4317, 5063, 5845, 7755, 4308, 5154], 'generators': [8, 2, 352], 'id': 67229860, 'label': '512.46623.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.a1.a1', '2.e1.a1', '2.e1.b1'], 'normal_contains': ['8.c1.a1', '8.l1.a1', '8.m1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '256.2416', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '32.22'}