We determine the automorphism groups of the cyclic orbifold vertex operator algebras associated with coinvariant lattices for isometries of the Leech lattice in the conjugacy classes 4C, 6E, 6G, 8E and 10F. As a consequence, we have determined the automorphism groups of all the 10 vertex operator algebras in [Hö], which are useful to analyze holomorphic vertex operator algebras of central charge 24.

中文翻译：

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与 Leech 晶格和一些非素数等距相关的循环轨道顶点算子代数的自同构群

我们确定了与共轭类 4 C、 6 E、 6 G、 8 E和 10 F中 Leech 格的等距的共变格相关的循环轨道折点算子代数的自同构群。因此，我们确定了[Hö]中所有10个顶点算子代数的自同构群，这对于分析中心电荷24的全纯顶点算子代数很有用。