{'ambient': '7200.c', 'aut_centralizer_order': None, 'aut_label': '300.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1800.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['30.b1.b1', '60.b1.b1', '100.a1.a1', '150.b1.b1'], 'contains': ['600.a1.b1', '600.c1.b1', '600.d1.b1', '900.a1.a1'], 'core': '3600.a1.a1', 'coset_action_label': None, 'count': 150, 'diagramx': [4552, -1, 8681, -1, 5019, -1, 6379, -1], 'generators': [109882823127, 125772346976, 149668856901, 122109387504], 'id': 68225799, 'label': '7200.c.300.a1.b1', 'mobius_quo': None, 'mobius_sub': -4, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '150.b1.b1', 'old_label': '300.a1.b1', 'projective_image': '3600.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300.a1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}