{'ambient': '256.29702', 'aut_centralizer_order': 64, 'aut_label': '4.f1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '4096.bri', 'aut_weyl_index': 128, 'centralizer': '16.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.f1', '2.g1'], 'contains': ['8.b1', '8.c1', '8.g1', '8.p1', '8.q1', '8.br1', '8.cc1'], 'core': '4.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [3385, 8070, 3374, 8067], 'generators': [1, 2, 196, 128, 160], 'id': 30063402, 'label': '256.29702.4.f1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1', 'normal_contained_in': ['2.a1', '2.f1', '2.g1'], 'normal_contains': ['8.b1', '8.c1', '8.g1', '8.p1', '8.q1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': '32.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '16.14'}