Grothendieck rings of a class of Hopf algebras of Kac-Paljutkin type

We construct the Grothendieck rings of a class of 2 n 2 dimensional semisimple Hopf Algebras H_2n^2 , which can be viewed as a generalization of the 8 dimensional Kac-Paljutkin Hopf algebra H 8 . All irreducible H_2n^2 -modules are classified. Furthermore, we describe the Grothendieck rings r ( H_2n^2 ) by generators and relations explicitly.