I'm looking for a graphic that shows the isomorphism theorems illustrated using a finite vector space. (that is a finite dimensional vector space over a finite field.) Something that shows nicely how the cosets "collapse" in to single elements or how cosets at different "levels" are matched up to form the isomorphisms.
I have tried searching but I keep finding arrow diagrams.
Alternately, suggestions for good examples that don't take too long to draw would be appreciated.