{'ambient': '900.147', 'aut_centralizer_order': 480, 'aut_label': '50.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '432.734', 'aut_weyl_index': 960, 'centralizer': '18.a1', 'complements': ['18.a1', '18.b1'], 'conjugacy_class_count': 2, 'contained_in': ['10.b1', '25.a1'], 'contains': ['100.a1', '150.b1'], 'core': '50.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9372, 8350, 9414, 8754], 'generators': [151, 20, 600], 'id': 112233064, 'label': '900.147.50.b1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.b1', 'normal_contained_in': ['10.b1', '25.a1'], 'normal_contains': ['100.a1'], 'normalizer': '1.a1', 'old_label': '50.b1', 'projective_image': '900.147', 'quotient_action_image': '1.1', 'quotient_action_kernel': '50.5', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '50.b1', 'subgroup_fusion': None, 'weyl_group': '18.4'}