{'ambient': '550.7', 'aut_centralizer_order': 4, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 5, 'aut_weyl_group': '110.1', 'aut_weyl_index': 20, 'centralizer': '110.a1.a1', 'complements': ['55.a1.a1', '55.b1.e1', '55.b1.a1', '55.b1.c1', '55.b1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.b1.b1'], 'contains': ['50.a1.a1', '110.b1.b1'], 'core': '10.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [992, 4413, 3865, 580, 3014, 7696, 1241, 5028], 'generators': [22, 50], 'id': 108139956, 'label': '550.7.10.b1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1.b1', 'normal_contained_in': ['2.a1.a1', '5.b1.b1'], 'normal_contains': ['50.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.b1', 'projective_image': '550.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.b1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}