{'ambient': '1728.33796', 'aut_centralizer_order': 144, 'aut_label': '24.do1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '48.51', 'aut_weyl_index': 288, 'centralizer': '24.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.z1.a1', '12.bd1.a1', '12.cg1.a1', '12.dh1.a1'], 'contains': ['48.bl1.a1', '72.f1.a1', '72.dk1.a1'], 'core': '72.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [710, -1, 6672, -1, 9941, -1, 9605, -1], 'generators': [217, 4, 600, 432, 864], 'id': 92217953, 'label': '1728.33796.24.do1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.z1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '24.do1.a1', 'projective_image': '432.759', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.do1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}