{'ambient': '1458.825', 'aut_centralizer_order': 9, 'aut_label': '27.g1', 'aut_quo_index': None, 'aut_stab_index': 81, 'aut_weyl_group': '108.26', 'aut_weyl_index': 729, 'centralizer': '486.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.f1.a1', '9.g1.a1', '9.h1.a1', '9.i1.a1'], 'contains': ['54.g1.a1', '81.b1.a1', '81.k1.a1'], 'core': '162.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [3939, -1, 5004, -1, 9266, -1, 5283, -1], 'generators': [111, 54, 702, 486], 'id': 76361521, 'label': '1458.825.27.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.g1.a1', 'old_label': '27.g1.a1', 'projective_image': '486.173', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.g1.a1', 'subgroup_fusion': None, 'weyl_group': '18.1'}