Bulletin of the Institute of Mathematics
We discuss conjugacy classes of embeddings of Alternating groups in Exceptional Lie groups. We settle the count of classes of embeddings in E8 of a subgroup Alt10 and its double cover. This involves computation and the reduction of the problems to relative eigenvector problems. We update previously published tables of embeddings. We comment on the improvements present in our table and on the remaining unsettled conjugacy questions.
Exceptional Lie Groups
Frey, Darrin D. and Ryba, Alex, "Conjugacy of Embeddings of Alternating Groups in Exceptional Lie Groups" (2018). Science and Mathematics Faculty Publications. 371.