{'ambient': '34992.mr', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1296.a1', 'complements': ['2187.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1'], 'contains': ['48.a1', '48.b1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5575, 2844, 4948, 2929], 'generators': [271362822238209806955682338963501504, 20666295932772708713708506089531406425603, 418854377757961674506960640, 526261674286216712388354874118288784, 20666295941918940249388752344471771097744, 265921993279890585930623027161838361690240, 138273964847680513318013697944031236597634], 'id': 202710336, 'label': '34992.mr.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1'], 'normal_contains': ['144.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '34992.mr', 'quotient_action_image': '16.8', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '1296.3521'}