{'ambient': '1296.3496', 'aut_centralizer_order': 4, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': 144, 'aut_weyl_group': '72.40', 'aut_weyl_index': 576, 'centralizer': '1296.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.c1'], 'contains': ['72.c1', '72.e1', '108.c1'], 'core': '1296.a1', 'coset_action_label': '36T2264', 'count': 144, 'diagramx': [5224, -1, 3716, -1], 'generators': [23, 1174320, 11249280, 78], 'id': 115796154, 'label': '1296.3496.36.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.d1', 'old_label': '36.d1', 'projective_image': '1296.3496', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.d1', 'subgroup_fusion': None, 'weyl_group': '36.10'}