# The completion of the $3$-modular character table of the Chevalley group $F_4(2)$ and its covering group

## TL;DR

This paper computationally determines the complete 3-modular character table for the Chevalley group F4(2) and its covering group, filling a key gap in the understanding of their representation theory.

## Contribution

It provides the first complete 3-modular character table for F4(2) and its covering group, using advanced computational techniques.

## Key findings

- Complete 3-modular character table for F4(2)
- Character table for the covering group also determined
- Enhances understanding of modular representations of these groups

## Abstract

Using computational methods, we complete the determination of the $3$-modular character table of the Chevalley group $F_4(2)$ and its covering group.