{'ambient': '4400.j', 'aut_centralizer_order': 8, 'aut_label': '20.l1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '110.1', 'aut_weyl_index': 320, 'centralizer': '220.a1', 'complements': None, 'conjugacy_class_count': 20, 'contained_in': ['4.f1', '10.b1'], 'contains': ['40.d1', '40.f1', '40.h1', '100.f1', '220.l1'], 'core': '40.d1', 'coset_action_label': None, 'count': 40, 'diagramx': [9734, -1, 1800, -1], 'generators': [5, 20, 400, 50], 'id': 66664574, 'label': '4400.j.20.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '20.l1', 'projective_image': '4400.j', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.l1', 'subgroup_fusion': None, 'weyl_group': '110.1'}