{'ambient': '17496.qe', 'aut_centralizer_order': None, 'aut_label': '72.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '72.a1', 'complements': ['243.b1'], 'conjugacy_class_count': 4, 'contained_in': ['24.b1', '36.c2'], 'contains': ['216.c1', '216.f1', '216.h1', '216.k1', '216.n1'], 'core': '72.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2166, 9016, 9540, 8973], 'generators': [2554923812208848884, 271353676394454377792702129150099764, 9147456921273669403100862566548, 418829647187779894450137844, 10628907044783140472034892274332109418480], 'id': 157804642, 'label': '17496.qe.72.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.a1', 'normal_contained_in': ['8.a1'], 'normal_contains': ['648.a1'], 'normalizer': '1.a1', 'old_label': '72.a1', 'projective_image': '17496.qe', 'quotient_action_image': '72.41', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '72.a1', 'subgroup_fusion': None, 'weyl_group': '72.41'}