{'ambient': '31104.mm', 'aut_centralizer_order': None, 'aut_label': '216.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5184.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.x1', '72.z2', '108.v1'], 'contains': ['432.x1', '432.bd1', '432.bx1', '432.el1', '432.ey1', '648.bb1', '648.bd1'], 'core': '31104.a1', 'coset_action_label': None, 'count': 108, 'diagramx': None, 'generators': [45600, 45507, 281173984800, 268241034483, 138240, 368871149043], 'id': 186569590, 'label': '31104.mm.216.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.v1', 'old_label': '216.be1', 'projective_image': '31104.mm', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.be1', 'subgroup_fusion': None, 'weyl_group': '48.51'}