The generic character table of a Sylow $p$-subgroup of a finite Chevalley group of type $D_4$

Abstract

Let $U$ be a Sylow $p$-subgroup of the finite Chevalley group of type $D_4$ over the field of $q$ elements, where $q$ is a power of a prime $p$. We describe a construction of the generic character table of $U$.