Let G be a group with 80 elements, and H a ​​group with 25 elements, and from GNo obvious homomorphism leading to H (i.e. eH in the image set)Suppose there is a homomorphism (there is at least one...

Let G be a group with 80 elements, and H a ​​group with 25 elements, and from G No obvious homomorphism leading to H (i.e. eH in the image set) Suppose there is a homomorphism (there is at least one element outside the G's Show that it has a single 16-element subgroup.