We determine and classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose Hopf coradicals are isomorphic to dual Radford algebras of dimension $4p$ for a prime $p>5$. In particular, we obtain families of new examples of finite-dimensional Hopf algebras without the dual Chevalley property.
"Classification of finite-dimensional Hopf algebras over dual Radford algebras." Bull. Belg. Math. Soc. Simon Stevin 28 (5) 633 - 688, september 2022. https://doi.org/10.36045/j.bbms.210612