{'ambient': '192.711', 'aut_centralizer_order': 24, 'aut_label': '12.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '32.43', 'aut_weyl_index': 96, 'centralizer': '16.a1.a1', 'complements': ['16.e1.a1', '16.e1.b1', '16.f1.b1', '16.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.a1.a1'], 'contains': ['24.b1.a1', '24.b1.b1', '24.c1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9425, 646, 2937, 2859, 9442, 9668, 8164, 9480], 'generators': [1, 24], 'id': 20363353, 'label': '192.711.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.f1.a1', '6.a1.a1'], 'normal_contains': ['24.b1.b1', '24.b1.a1', '24.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '96.141', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}