{'ambient': '4400.j', 'aut_centralizer_order': 8, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 10, 'aut_weyl_group': '440.42', 'aut_weyl_index': 80, 'centralizer': '220.a1', 'complements': ['440.d1', '440.c1', '440.h1', '440.g1'], 'conjugacy_class_count': 10, 'contained_in': ['2.a1', '5.b1'], 'contains': ['20.b1', '20.d1', '20.f1', '20.l1', '50.a1', '110.c1'], 'core': '10.b1', 'coset_action_label': None, 'count': 10, 'diagramx': [7278, 3339, 4504, 2100], 'generators': [5, 2200, 20, 50, 400], 'id': 66664550, 'label': '4400.j.10.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1', 'normal_contained_in': ['2.a1', '5.b1'], 'normal_contains': ['20.b1', '20.d1', '20.f1', '50.a1'], 'normalizer': '1.a1', 'old_label': '10.b1', 'projective_image': '2200.a', 'quotient_action_image': '5.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}