{'ambient': '256.30836', 'aut_centralizer_order': 512, 'aut_label': '8.cz1', 'aut_quo_index': 168, 'aut_stab_index': 1, 'aut_weyl_group': '64.267', 'aut_weyl_index': 512, 'centralizer': '16.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.co1.a1', '4.di1.a1', '4.ev1.a1', '4.fc1.a1', '4.fg1.a1', '4.fi1.a1'], 'contains': ['16.f1.a1', '16.w1.a1', '16.y1.a1', '16.gr1.a1'], 'core': '8.cz1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6874, 2734, 6758, 8227, 6877, 2733, 6751, 8245], 'generators': [69, 70, 128], 'id': 30879043, 'label': '256.30836.8.cz1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.cz1.a1', 'normal_contained_in': ['4.f1.a1', '4.co1.a1', '4.di1.a1', '4.ev1.a1', '4.fc1.a1', '4.fi1.a1', '4.fg1.a1'], 'normal_contains': ['16.f1.a1', '16.y1.a1', '16.w1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.cz1.a1', 'projective_image': '32.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.cz1.a1', 'subgroup_fusion': None, 'weyl_group': '16.14'}