{'ambient': '192.711', 'aut_centralizer_order': 12, 'aut_label': '4.f1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '64.254', 'aut_weyl_index': 48, 'centralizer': '16.a1.a1', 'complements': ['48.e1.a1', '48.e1.b1', '48.f1.b1', '48.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.c1.c1', '8.c1.d1', '8.d1.a1', '12.c1.d1'], 'core': '4.f1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [9834, 1341, 3167, 2608, 9740, 8053, 9088, 7769], 'generators': [5, 96, 24, 64, 144], 'id': 20363315, 'label': '192.711.4.f1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.f1.d1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['8.c1.d1', '8.c1.c1', '8.d1.a1', '12.c1.d1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.d1', 'projective_image': '96.141', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.f1.d1', 'subgroup_fusion': None, 'weyl_group': '16.11'}