{'ambient': '1296.3514', 'aut_centralizer_order': 9, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 9, 'centralizer': '144.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1'], 'contains': ['16.a1', '24.a1', '24.b1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5079, 2480, 3439, 1630], 'generators': [72, 432, 4, 48, 576], 'id': 71128257, 'label': '1296.3514.8.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.a1', '24.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '1296.3514', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '144.182'}