{'ambient': '1728.34722', 'aut_centralizer_order': None, 'aut_label': '6.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.c1.a1'], 'contains': ['12.d1.a1', '12.bd1.a1', '12.bk1.a1', '12.cc1.a1', '12.ce1.a1', '12.ea1.a1', '12.eh1.a1', '18.d1.a1', '18.p1.a1'], 'core': '12.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [37, 48, 864, 6, 576, 432, 72], 'id': 93254926, 'label': '1728.34722.6.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1.a1', 'old_label': '6.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}