{'ambient': '256.29702', 'aut_centralizer_order': 512, 'aut_label': '8.d1', 'aut_quo_index': 84, 'aut_stab_index': 2, 'aut_weyl_group': '256.1529', 'aut_weyl_index': 1024, 'centralizer': '16.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.g1', '4.j1', '4.m1', '4.n1'], 'contains': ['16.a1', '16.f1', '16.j1', '16.t1', '16.bg1'], 'core': '8.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [7535, 7449, 7514, 7447], 'generators': [17, 2, 8, 160], 'id': 30063568, 'label': '256.29702.8.d1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.d1', 'normal_contained_in': ['4.c1', '4.g1', '4.j1', '4.m1', '4.n1'], 'normal_contains': ['16.a1', '16.f1', '16.j1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '32.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '16.14'}