Showing that g^-1 H g is a subgroup

[polarbears]

Homework Statement

If H is a subgroup of G, show that $$g^{-1}Hg={g^{-1}hg \; h\in H$$ is a subgroup for each g$$\in$$ G

Homework Equations

The Attempt at a Solution

I know I just have to check for closure and inverses, but the elements in this group $$g^{-1}hg$$ with different h or with different g?

 

[Dick]

Same g for all of them but different h's in H.