So far I do think Athenian's is the best. But I was wondering... I'm not sure how many of you are familiar with socionics (I'm not all that familiar with it myself...so correct me if I'm missing something), but I found it interesting that you could arrange four groups such that each member in the group was either a
Duality, a
Mirror, or an
Activity to another. So you don't have to read all of it, here's a few key points:
1) Duality relations are the most favorable of intertype relations providing complete psychological compatibility, as they are like two halves of a whole unit. Duals will naturally protect your weak points and appreciate the strong ones without asking for anything in return.
2) Mirrors are relations of mutual correction as they have similar interests and ideas, but a slightly different understanding of the same problem. Each can only see half of one problem, and always find what the other is thinking interesting.
3) Interactions of activities are nice and easy and the advice of one can strengthen the other's weakness.
4) Mirror relations usually lack warm atmosphere between partners. This situation normally changes in presence of a third person who is Dual to one partner and an Activity partner to the other.
5) Also note that while there isn't one of each temperament type or interaction style in each group, there's still a good mix. There's an SJ and SP in each group, and there is either 2 NFs or 2 NTs. I guess NTs and SFs pair up best together and NFs and STs pair up best together? As for interaction style, each style is in 3 different groups (1 group has two).
So the groups would be:
1) ENTJ, INTP, ESFP, ISFJ
2) ESTJ, ISTP, ENFP, INFJ
3) ENTP, ISFP, ESFJ, INTJ
4) ESTP, ENFJ, ISTJ, INFP
Anyways, this is all kind of theoretical. I don't know if it would actually work. But if the goal was generating ideas, I think it would work out quite well as everyone's weaknesses are covered by the strength of another. However, I have no idea what each group would be assigned to do... I'm sure there's a whole lot of varying interest.

(I'd like trying to pit the groups against each other... like in a scavenger hunt or something. That would kick ass. Go Team 3!)
Personally, I'd like working with an ESTJ, ENFP and INFJ. They are the three most interesting types to me, as they have very different ideas that fascinate me.