{'ambient': '384.16406', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.k1', '6.a1', '6.f1'], 'contains': ['24.b1', '24.d1', '24.z1'], 'core': '12.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 4, 72], 'id': 54255478, 'label': '384.16406.12.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': ['4.k1', '6.a1'], 'normal_contains': ['24.b1', '24.d1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': None}