Some steps in the verification of the ordinary character table of the Monster group

TL;DR

This paper details computational steps used to verify the conjugacy classes and character table of the Monster group, supporting the correctness of its known algebraic structure.

Contribution

It provides a detailed account of the computational methods used to verify the Monster group's character table and conjugacy classes, enhancing the reliability of existing results.

Findings

Verification of the Monster group's conjugacy classes completed

Confirmation of the character table accuracy

Computational methods validated for large finite groups

Abstract

We show the details of certain computations that are used in the paper "Verification of the conjugacy classes and ordinary character table of the Monster".