Honestly, wouldn't anyone agree that they prefer group situations where they are with people they are close to and actually know/are comfortable with? It seems like a no-brainer to me, and I actually think the difference between Alpha/Beta and Gamma/Delta is just that Alpha/Beta are two quadras more prone to emphasizing the connection they have with other people by using a lot of external emotional expression and whatnot, which is probably why there are these misconceptions (imo) that Alpha/Beta just prefer really big groups no matter what the circumstance, no matter whom the people in it.
Meanwhile, I see Gamma/Delta as two quadras that might very well prefer big groups too, only that they will be less likely to outwardly express that sort of collective "rahrah" atmosphere that I see Betas engage in. Also, they would obviously prefer to be in groups where they know the others well, and are not complete strangers with them.
However, I must say that I do think Alpha/Beta are much more likely to be comfortable with strangers in group situations, only because tends to melt down barriers faster than may be willing to... don't get me wrong here, I'm not bashing or anything. I'm merely stating that will tend to accept those that they do not know quicker in a group, as long as they join in the collective group atmosphere in some way, and are not total recluses.
My personal opinion of myself in group-related situations depends solely on the people I am with. In general though, if I had to pick some sort of trend I see with my social behaviour, I'd say that I actually gravitate towards 4 or less in hanging out. Too many people come, and I actually get a headache trying to engage everyone at once and make sure no one feels left out... It's quite awkward, and I suppose that's my concern for atmosphere showing. Anyhow, my ideal number is 3 people, which somehow always works out great for me, who knows why.
I really like one on one situations as well though; You get to really understand the other person deeper than you would in a group situation, because both are focusing on the other, rather than attempting to focus on everyone else at once. I would take feeling that 'deep' chemistry and connection with one other person over some light interactions with a bunch of people any day. Perhaps that is just the sx-first showing though, yeah?
I never shy away from group discussion when it is something I am interested in. Even if I am a little unfamiliar with some people in that group, I'll still personally say my opinions, quite abruptly.
Some other IEI above mentioned how horrid it is when you are forced to go on tours or "planned"/"fixed" outings with a lot of people such as tours of a new city with a guide. I absolutely DESPISE that kind of group situation as well because it is so, so fake and leaves no room for individual desires and usually just is boring
In conclusion (wow, longest post I've written in a while), I'd have to say I just enjoy group activities/discussion which feels emotionally "real" to me.