The function SocialMedia data allows you to find out a number of things about your facebook friends as long as their privacy settings allow it. Please see the Details section in this page:

http://reference.wolfram.com/mathematica/ref/SocialMediaData.html

It sounds like you are looking for information about people in a facebook group who aren't your friends which isn't what SocialMediaData is really designed to do. SocialMediaData implements a very useful subset of the full facebook API, but not the entire thing. There may be some functionality in the Facebook API which would be useful to you.

You may want to consult the underlying facebook API. This will tell you what kind of information facebook will actually allow you to have.

Nice, Martin. Some other visual-ready stats I found:

Hi guys, my question is related to the one in this thread. The application that I'm trying to design needs to, somehow, build a range of statistics on my users, if they approve. So first of all, I'm getting their permission AND they're connecting their Facebook account to my application.

Basically, when you run the Facebook profile analysis on your own profile, it tells you how many friends you have, their friends, common friends, and a wealth of other information about you and those friends.

I need that for my users so that I can group them according to that data.

Can I use the API to do this?