{'ambient': '500.45', 'aut_centralizer_order': 125, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '80.30', 'aut_weyl_index': 3000, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['100.a1.a1', '100.c1.b1', '100.c1.c1', '100.c1.d1', '100.c1.e1', '100.c1.f1'], 'core': '100.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [595, -1, 9269, -1, 832, -1, 2155, -1], 'generators': [104, 20], 'id': 58674265, 'label': '500.45.20.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '20.c1.a1', 'projective_image': '500.45', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}