Okay, here's my thoughts. In order of most favorite to least
favorite:

1. Conspiracy: oooo, sound like we are going to take over the
world
2. Coalition: alright
3. Confederation: I like how this sounds old. But do we want to
be tied to the slave south?
4. Corps: hmmm, sounds like a millitary unit. not bad.
5. Coadjuvancy: uh?
6. Cooperative: eh, no. sounds too non-for-profity
7. Colleagueship: no, too fruity
8. Circle: no
9. Association: hey, this starts with an "a"
10. Allliance: hey, this is also an "a"