Can anyone help with identification of this gorgonian?

I was wondering if it is possible to frag a bushy sea rod. I bought one a week ago, but didn't realize just how huge it really is! From the base to it's furthest branch, the thing is over 1.5 feet. If they can be fragged, what is the best method?

Can my Diodogorgia start growing from a branch that has broken off? It is a piece about 2inches long and the polyps are extending normally. Can I secure this new piece somewhere and expect it to become a new colony (Sea fan)?