{'ambient': '1200.1038', 'aut_centralizer_order': 3840, 'aut_label': '60.a1', 'aut_quo_index': 1, 'aut_stab_index': 7, 'aut_weyl_group': '24.5', 'aut_weyl_index': 26880, 'centralizer': '1.a1', 'complements': ['20.a1'], 'conjugacy_class_count': 7, 'contained_in': ['12.a1', '20.b1', '30.a1', '30.c1'], 'contains': ['120.a1', '300.a1'], 'core': '60.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5122, 6406, 4363, 7228], 'generators': [20, 8, 600], 'id': 70110740, 'label': '1200.1038.60.a1', 'mobius_quo': -2, 'mobius_sub': 30, 'normal_closure': '60.a1', 'normal_contained_in': ['12.a1', '20.b1', '30.a1'], 'normal_contains': ['120.a1', '300.a1'], 'normalizer': '1.a1', 'old_label': '60.a1', 'projective_image': '60.12', 'quotient_action_image': '1.1', 'quotient_action_kernel': '60.12', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '60.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}