{'ambient': '1728.47309', 'aut_centralizer_order': None, 'aut_label': '72.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.e1', '24.bi1', '36.a1', '36.p1', '36.be1', '36.bp1'], 'contains': ['144.a1', '144.e1', '216.f1'], 'core': '72.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [228, 864, 144, 576], 'id': 103574734, 'label': '1728.47309.72.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.c1', 'normal_contained_in': ['24.e1', '36.a1'], 'normal_contains': ['144.a1', '144.e1'], 'normalizer': '1.a1', 'old_label': '72.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.c1', 'subgroup_fusion': None, 'weyl_group': None}