{'ambient': '432.682', 'aut_centralizer_order': 2592, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 10368, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '6.b1', '6.c1', '6.d1'], 'contains': ['24.a1', '24.c1', '36.a1', '36.b1', '36.i1'], 'core': '12.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6894, 6419, 6063, 6492], 'generators': [36, 216, 24, 144], 'id': 58397518, 'label': '432.682.12.a1', 'mobius_quo': 2, 'mobius_sub': -6, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.b1'], 'normal_contains': ['24.a1', '24.c1', '36.a1', '36.b1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '108.39', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}