  We define a series of Artin-Schelter Gorenstein Hopf algebras $H_\beta$ with
injective dimensions 3. Radford's Hopf algebra and Gelaki's Hopf algebra are
homomorphic images of $H_\beta$. We determine its Grothendieck ring
$G_0(H_\beta)$. Meanwhile we can obtain Grothendieck rings of Gelaki's Hopf
algebras and Radford's Hopf algebras $U_{(N,\nu,\omega)}$ in \cite{R}, and
non-isomorphic Hopf algebras with isomorphic Grothendieck rings.
