{'ambient': '1296.3496', 'aut_centralizer_order': 1, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '1296.a1', 'complements': ['324.a1', '324.b1', '324.d1'], 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['8.a1', '12.b1', '36.c1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [6619, 6832, 5283, 7139], 'generators': [40647623, 1174320, 210551040, 11249280, 78, 676], 'id': 115796180, 'label': '1296.3496.4.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '1296.3496', 'quotient_action_image': '4.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '1296.3496'}