{'ambient': '1728.33796', 'aut_centralizer_order': 8, 'aut_label': '18.o1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '96.230', 'aut_weyl_index': 144, 'centralizer': '216.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.p1.a1', '6.u1.a1', '9.a1.a1'], 'contains': ['36.x1.a1', '36.bd1.a1', '36.be1.a1', '36.cp1.b1', '36.cq1.b1', '36.cz1.b1', '36.da1.b1', '54.g1.a1'], 'core': '72.d1.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [3268, -1, 8761, -1, 7103, -1, 7816, -1], 'generators': [217, 24, 864, 1086, 36, 432], 'id': 92217748, 'label': '1728.33796.18.o1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.o1.a1', 'projective_image': '432.759', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.o1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}