{'ambient': '1944.3557', 'aut_centralizer_order': 27, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.38', 'aut_weyl_index': 108, 'centralizer': '24.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.b1.a1'], 'contains': ['72.a1.a1', '72.c1.a1', '72.c1.b1', '72.d1.a1', '72.d1.b1', '72.e1.a1', '72.e1.b1', '72.f1.a1', '72.f1.b1', '72.j1.a1', '72.j1.a2', '72.j1.b1', '72.j1.b2', '72.k1.a1', '72.l1.a1', '72.l1.a2', '72.l1.a3', '72.l1.a4'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2595, -1, 3878, -1, 2436, -1, 7679, -1], 'generators': [8, 24, 72, 648], 'id': 107649260, 'label': '1944.3557.24.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '648.729', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}