The character tables of centralizers in Weyl Group of $E_8$ V

TL;DR

This paper computes and lists character tables of centralizers in the Weyl group of E8, aiding the classification of certain Hopf algebras using computational methods.

Contribution

It provides detailed character tables of centralizers in the E8 Weyl group, a key step in classifying related Hopf algebras, using GAP software.

Findings

Character tables of centralizers 95--112 are listed.

Conjugacy class representatives are identified.

Computational methods facilitate classification tasks.

Abstract

To classify the finite dimensional pointed Hopf algebras with Weyl group $G$ of $E_8$, we obtain the representatives of conjugacy classes of $G$ and all character tables of centralizers of these representatives by means of software GAP. In this paper we only list character table 95--112.