characterization of the chevalley group g2(5) by the set of numbers of the same order elements

Let g be a group and ω(g)={o(g)|g∈g} be the set of element orders of g. let k∈ω(g) and sk=|{g∈g|o(g)=k}|. let nse(g)={sk|k∈ω(g)}. in this paper, we prove that if g is a group and g2(5) is the chevalley simple group of type g2 over gf(5) such that nse(g)=nse(g2(5)), then g≅g2(5).