{'ambient': '960.10067', 'aut_centralizer_order': 3072, 'aut_label': '40.f1', 'aut_quo_index': 42, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '4.d1', 'complements': ['24.m1'], 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '20.d1', '20.h1', '20.i1', '20.j1'], 'contains': ['80.b1', '80.o1', '120.d1'], 'core': '40.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [1082, 6462, 1264, 3594], 'generators': [1219468, 128745, 2501513, 3706515], 'id': 275240669, 'label': '960.10067.40.f1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '40.f1', 'normal_contained_in': ['8.f1', '20.d1', '20.h1', '20.i1', '20.j1'], 'normal_contains': ['80.b1', '120.d1'], 'normalizer': '1.a1', 'old_label': '40.f1', 'projective_image': '240.206', 'quotient_action_image': '4.2', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '40.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}