{'ambient': '1728.33796', 'aut_centralizer_order': 8, 'aut_label': '12.dd1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '576.8666', 'aut_weyl_index': 24, 'centralizer': '108.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.ba1.a1', '6.f1.a1', '6.t1.a1', '6.t1.b1'], 'contains': ['24.q1.a1', '24.cw1.a1', '24.dm1.a1', '36.cx1.a1', '36.cx1.b1', '36.de1.a1'], 'core': '24.q1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1651, -1, 9219, -1, 7933, -1, 7641, -1], 'generators': [15, 576, 24, 216, 432, 864], 'id': 92217680, 'label': '1728.33796.12.dd1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.ba1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.dd1.a1', 'projective_image': '432.759', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.dd1.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}