{'ambient': '6912.hm', 'aut_centralizer_order': None, 'aut_label': '432.eh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '432.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['144.ik1', '144.ip1', '216.v1', '216.do1'], 'contains': ['864.ce1', '864.ck1', '864.cl1', '864.cr2', '864.cs1', '864.cy1', '864.cz1'], 'core': '6912.a1', 'coset_action_label': None, 'count': 864, 'diagramx': [1252, -1, 754, -1], 'generators': [6267303924, 36177, 722, 87109698], 'id': 243537727, 'label': '6912.hm.432.eh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.c1', 'old_label': '432.eh1', 'projective_image': '6912.hm', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.eh1', 'subgroup_fusion': None, 'weyl_group': '4.2'}