ช่วยทีคับ Finite Groups Perfect Order Subsets
 

Let G be a finite group and all the Sylow subgroups of G are cyclic, then
$G=<x, y|x^m =1= y^n , xyx^{−1}= y^r>$ where $0 ≤ r<m, r^n \equiv 1 \pmod {m}$, $m$ is odd, $gcd(m, n(r − 1)) = 1$, and
$|G|=mn$