{'ambient': '972.798', 'aut_centralizer_order': 486, 'aut_label': '36.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 486, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '12.c1.a1', '12.g1.a1', '18.a1.a1', '18.t1.a1', '18.t1.b1'], 'contains': ['108.a1.a1', '108.a1.b1', '108.d1.a1', '108.e1.a1', '108.n1.a1', '108.n1.b1', '108.w1.a1'], 'core': '36.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4510, 5847, 6427, 7783, 3691, 5624, 3514, 6740], 'generators': [734401, 33902551, 879733], 'id': 275326013, 'label': '972.798.36.c1.a1', 'mobius_quo': -1, 'mobius_sub': 6, 'normal_closure': '36.c1.a1', 'normal_contained_in': ['12.b1.a1', '12.c1.a1', '18.a1.a1'], 'normal_contains': ['108.a1.b1', '108.a1.a1', '108.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.c1.a1', 'projective_image': '972.798', 'quotient_action_image': '4.2', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '36.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}