{'ambient': '432.735', 'aut_centralizer_order': 432, 'aut_label': '216.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 432, 'centralizer': '1.a1.a1', 'complements': ['2.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['72.a1.a1', '72.b1.a1', '72.c1.a1', '108.a1.a1'], 'contains': ['432.a1.a1'], 'core': '216.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4135, 7484, 4238, 2611, 3063, 8029, 3063, 8029], 'generators': [13286], 'id': 66581419, 'label': '432.735.216.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '216.a1.a1', 'normal_contained_in': ['24.a1.a1'], 'normal_contains': ['432.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '216.a1.a1', 'projective_image': '216.153', 'quotient_action_image': '1.1', 'quotient_action_kernel': '216.153', 'quotient_action_kernel_order': 216, 'quotient_fusion': None, 'short_label': '216.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}