Automorphisms of Niemeier lattices for Miyamoto's   $\mathbb{Z}_3$-orbifold construction
  We classify, up to conjugation, all automorphisms of Niemeier lattices to which we can apply Miyamoto's orbifold construction. Using this classification, we prove that the VOAs obtained in [M] and [SS] are all of holomorphic non-lattice VOAs which we can obtain by applying the $\mathbb{Z}_3$-orbifold construction to a Niemeier lattice and its automorphism. 
Motohiro Ishii, Daisuke Sagaki, and Hiroki Shimakura
math.QA