On semisimple Hopf algebras of dimension $2q^3$
  Let $q$ be a prime number, $k$ an algebraically closed field of characteristic 0, and $H$ a semisimple Hopf algebra of dimension $2q^3$. This paper proves that $H$ is always semisolvable. That is, such Hopf algebras can be obtained by (a number of) extensions from group algebras or duals of group algebras. 
Jingcheng Dong and Shuanhong Wang
math.RA math.QA