The character table of a sharply 5-transitive subgroup of $\mathrm{Alt}(12)$

Nick Gill, Sam Hughes

In this paper we calculate the character table of a sharply $5$-transitive subgroup of $\mathrm{Alt}(12)$, and of a sharply $4$-transitive subgroup of $\mathrm{Alt}(11)$. Our presentatio…