Automorphisms group of ring $\mathbb Z\mathrm A_4$

The structure of group of automorphisms of integer group ring of group $\mathrm A_4$ is studied in terms of semidirect product. We show that Zassenhaus conjecture on structure of automorphisms of integer group rings of finite groups for the group $\operatorname{Aut}\mathbb Z\mathrm A_4$ holds.