{'ambient': '800.936', 'aut_centralizer_order': 640, 'aut_label': '20.b1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 3840, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.b1', '10.a1', '10.c1'], 'contains': ['40.a1', '40.c1', '100.b1'], 'core': '20.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [6603, 3127, 6730, 5248], 'generators': [20, 160, 400, 200], 'id': 111031328, 'label': '800.936.20.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.b1', 'normal_contained_in': ['4.b1', '10.a1', '10.c1'], 'normal_contains': ['40.a1', '40.c1', '100.b1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': '20.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}