The character table of the finite Chevalley group F4(q) for q a power of 2

Abstract

Let q be a prime power and F4(q)be the Chevalley group of type F4over a finite field with q elements. Marcelo and Shinoda (Tokyo J Math 18:303-340, 1995) determined the values of the unipotent characters of F4(q)on all unipotent elements, extending earlier work by Kawanaka and Lusztig to small characteristics. Assuming that q is a power of 2, we explain how to construct the complete character table of F4(q).