{'ambient': '105600.a', 'aut_centralizer_order': None, 'aut_label': '5280.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.E', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['480.J', '1056.H', '1760.H', '2640.A', '2640.B', '2640.C', '2640.V', '2640.BK', '2640.BY', '2640.CG', '2640.CP', '2640.CR', '2640.CV', '2640.CW'], 'contains': ['10560.A', '26400.A'], 'core': '5280.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5809717384314194, 37595466963011736, 41772741070013040], 'id': 60712349, 'label': '105600.a.5280.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5280.A', 'normal_contained_in': ['8.A', '2640.A', '2640.B', '2640.C'], 'normal_contains': ['10560.A', '26400.A'], 'normalizer': '1.a1', 'old_label': '5280.a1', 'projective_image': None, 'quotient_action_image': '2.1', 'quotient_action_kernel': '2640.a', 'quotient_action_kernel_order': 2640, 'quotient_fusion': None, 'short_label': '5280.A', 'subgroup_fusion': None, 'weyl_group': '2.1'}