2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99849We prove that every semisimple Hopf algebra of dimension less than 60 over an algebraically closed field k of characteristic zero is either upper or lower semisolvable up to a cocycle twist.revised version, change in the main resultQuantum Algebra16W30On the semisolvability of semisimple Hopf algebras of low dimensiontext