{'ambient': '1944.3557', 'aut_centralizer_order': 648, 'aut_label': '72.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 648, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '36.b1.a1'], 'contains': ['216.a1.a1', '216.a1.b1', '216.b1.a1', '216.c1.a1', '216.g1.a1', '216.g1.b1', '216.l1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6454, 2132, 6188, 5831, 3017, 2976, 6691, 2485], 'generators': [8, 24, 648], 'id': 107649297, 'label': '1944.3557.72.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '72.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['216.a1.a1', '216.a1.b1', '216.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.a1.a1', 'projective_image': '648.729', 'quotient_action_image': '4.2', 'quotient_action_kernel': '18.4', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '72.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}