Absolutely irreducible modules via James triples

The construction of absolutely irreducible $KG$-modules for a field $K$ and a finite group $G$ is a basic problem in representation theory. For the symmetric group ${\mathrm{S}}_n$, Gordon James gave an explicit solution using subgroup data associated to a $\mu$-tableau $t$ for partitions $\mu ⊢n$. Here, we want to investigate in which way James’s method can be extended beyond symmetric groups. We identify suitable subgroup data from a finite group and use it to construct a module such that an associated factor module is absolutely irreducible or zero.