Amirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-2449Articles in Press20240414A new characterization of Chevalley groups $\mathbf{G_2(3^n)}$ by the order of the group and the number of elements with the same order538510.22060/ajmc.2024.22566.1173ENBehnamEbrahimzadehDepartment of Mathematics, Persian Gulf university, Boshehr, Iran0000-0001-5696-275XHamidShabandarzadehDepartment of Mathematics, Persian Gulf university, Boshehr, IranJournal Article20230719In this paper, we prove that chevalley groups $G_2(q)$, where $q=3^n$ and $q^2+q+1$ is a prime numbers can be uniquely determined by the order of group and the number of elements with the same order.