Units of integral group rings of finite groups with a direct multiplier of order 3

The description of units of integral group rings of finite groups of type $A\times Z_3$ was obtained, where $A$ contains a central subgroup of order $3$. For example, the unit groups of integral group rings of Abelian groups of the types $(9,3)$, $(9,3,3)$ and $(15,3)$ were found.