Certainly a Chrysanthemum of some sort, just as Neal said. I have only grown them outdoors except to root pinchings.
I would pinch the top off, about three inches down. Put it in some water. Once it develops roots pot it up. Let that grow to about six inches and pinch the top three off again. Root in water and pot up the second plant. You can keep repeating as much as you would like. I would pinch off any buds that form until one of your new plants gets fuller.