Short on me: I'm really new to EVE (couple of days left on 14 day free-account

I have some ideas for how to really optimize mining-operations and my current corp don't seem to think far/big enough for me to implement it there, besides i need to learn more about how other organizations handle their minig-operations (wich is what I'm most interested in atm)
So I'm basically looking for that corp. I came across Taggart Transdimensional and thought it looked promising.

So, I have a question.
How do Taggart organize mining? I assume many members join in different roles, but who can join? how many is normally involved in a corp. mining-operation? How often do you do it? How is the ore/income divided between participants? How much does the corp take? Maybe you guys have all this down so good my idea is superfluous.
