{'ambient': '1728.35520', 'aut_centralizer_order': None, 'aut_label': '108.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '108.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.a1', '36.p1.a1', '36.v1.a1', '36.ba1.a1', '54.a1.a1', '54.f1.a1', '54.g1.a1'], 'contains': ['216.b1.a1', '216.e1.a1', '216.o1.a1', '216.s1.a1', '216.s1.b1'], 'core': '432.a1.a1', 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [469, 438, 72], 'id': 94161384, 'label': '1728.35520.108.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1.a1', 'old_label': '108.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}