{'ambient': '7776.cc', 'aut_centralizer_order': None, 'aut_label': '96.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.br1'], 'contains': ['288.bc1', '288.bd1', '288.be1', '288.bf1', '288.bg1', '288.bi1', '288.bj1', '288.bk1', '288.bl1', '288.bn1', '288.bo1', '288.bq1'], 'core': '7776.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2108, -1, 3124, -1], 'generators': [80714, 267761894438, 267761894795, 25427001600], 'id': 245762116, 'label': '7776.cc.96.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.f1', 'old_label': '96.k1', 'projective_image': '7776.cc', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}