# Nonsemisimple Hopf algebras of dimension 8p with the Chevalley property

## TL;DR

This paper classifies nonsemisimple Hopf algebras of dimension 8p with the Chevalley property over algebraically closed fields of characteristic zero, and provides partial classifications for dimension 24.

## Contribution

It offers a complete classification for dimension 8p and partial results for dimension 24, advancing understanding of nonsemisimple Hopf algebras with the Chevalley property.

## Key findings

- Classified nonsemisimple Hopf algebras of dimension 8p with the Chevalley property.
- Provided partial classification results for dimension 24.
- Enhanced understanding of structure and properties of these Hopf algebras.

## Abstract

Let p be an odd prime and k an algebraically closed field of characteristic zero. We classify nonsemisimple Hopf algebras over k of dimension 8p with the Chevalley property, and give partial results on nonsemisimple Hopf algebras of dimension 24.