{'ambient': '800.942', 'aut_centralizer_order': 7680, 'aut_label': '100.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7680, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.b1', '50.a1', '50.d1'], 'contains': ['200.a1', '200.c1', '200.g1'], 'core': '100.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4003, 5392, 6965, 6548], 'generators': [611, 20, 400], 'id': 111031916, 'label': '800.942.100.b1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '100.b1', 'normal_contained_in': ['20.b1', '50.a1', '50.d1'], 'normal_contains': ['200.a1'], 'normalizer': '1.a1', 'old_label': '100.b1', 'projective_image': '200.52', 'quotient_action_image': '4.2', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '100.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}