I will have to agree then with Amphiprion. It is a Halomitra, which is similar to a fungia, but not the same. Hopefully Amphiprion can chime in and say if the manner it was fragged was ok.
I can say I have never seen one of those before, and even google comes up with very limited information on them, so I would guess it is semi-rare at least.
Edit: From this picture it does appear to have multiple mouths..