The Fox Coral = Nemenzophyllia turbida
This will grow in indirect light - in my tank they have shown die back to the shade line - sometimes listed as medium light, or even high light - but do prefer lower light levels. Very nice looking, soft appearing LPS. I wish I had more shade in my tank - it is too bright.
Do a web search - here is a pretty good photo of one I found on Google
http://reefsources.itgo.com/features.../desc/fox.html