{'ambient': '1728.35520', 'aut_centralizer_order': None, 'aut_label': '36.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '144.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '12.bb1.a1', '18.j1.a1', '18.o1.a1', '18.r1.a1'], 'contains': ['72.c1.a1', '72.k1.a1', '72.w1.a1', '108.e1.a1'], 'core': '72.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 576, 468, 936, 864], 'id': 94160914, 'label': '1728.35520.36.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '36.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}