{'ambient': '11520.ec', 'aut_centralizer_order': None, 'aut_label': '720.hp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '180.bm1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['144.ee1', '240.fn1', '360.ch1', '360.dk1', '360.dm1', '360.ec1', '360.ed1', '360.fs1', '360.hg1', '360.io1', '360.iy1', '360.jd1', '360.jd2'], 'contains': ['1440.bv1', '1440.bx1', '1440.by1', '1440.cb1', '1440.cd1', '1440.cx1', '1440.de1'], 'core': '5760.a1', 'coset_action_label': None, 'count': 720, 'diagramx': None, 'generators': [19678988153, 7, 121, 5633], 'id': 126404577, 'label': '11520.ec.720.hp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '45.a1', 'old_label': '720.hp1', 'projective_image': '5760.gx', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '720.hp1', 'subgroup_fusion': None, 'weyl_group': '4.2'}