Unit group of semisimple group algebras of some non-metabelian groups of order 120

In this paper, we give the characterization of the unit groups of semisimple group algebras of some non-metabelian groups of order [Formula: see text]. This study completes the study of unit groups of semisimple group algebras of all groups up to order [Formula: see text], except that of the symmetric group [Formula: see text] and groups of order [Formula: see text].