Linear representation theory of binary octahedral group

This article gives specific information, namely, linear representation theory, about a particular group, namely: binary octahedral group.
View linear representation theory of particular groups | View other specific information about binary octahedral group

The binary octahedral group is a binary von Dyck group with parameters $(4,3,2)$, i.e., it has the presentation:

$⟨a,b,c\mid a^4=b^3=c^2=abc⟩$.

We denote the element $a^4=b^3=c^2$ as $z$. This element has order two.

This article discusses the linear representation theory of the binary octahedral group in characteristics other than 2 and 3.

Summary

Item	Value
degrees of irreducible representations over a splitting field	1,1,2,2,2,3,3,4