Onto Homomorphism: G/H Isomorphic to K

[Punkyc7]

If G/H is $\cong$ K show there exist an homomorphism which is ont λ:G $\rightarrow$ K with the kernel of λ=HI am having a hard time figuring out what this should be. I have a feeling it is easy if you know how to look at it.

I have been trying the First Isomorphism Theorem but I can't seem to get.

Any help would e greatly appreciated.

 

[jbunniii]

You have an isomorphism $\phi : G/H \rightarrow K$. Can you find a surjective homomorphism $\theta : G \rightarrow G/H$ which has ker $\theta = H$? What happens when you compose $\theta$ with $\phi$?