{'ambient': '800.315', 'aut_centralizer_order': 5120, 'aut_label': '400.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 5120, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['80.e1.a1', '80.f1.a1', '80.i1.a1', '80.i1.b1', '200.a1.a1', '200.c1.a1', '200.c1.b1', '200.e1.a1', '200.f1.a1'], 'contains': ['800.a1.a1'], 'core': '400.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5258, 4935, 5706, 6826, 5637, 6041, 3647, 7401], 'generators': [4], 'id': 110955957, 'label': '800.315.400.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '400.c1.a1', 'normal_contained_in': ['80.e1.a1', '80.f1.a1', '200.a1.a1', '200.c1.a1', '200.c1.b1'], 'normal_contains': ['800.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '400.c1.a1', 'projective_image': '400.91', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.91', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}