This appears to be a pretty controversial issue, as some people are hesitant to identify with Beta values on the basis that their groups tend to be too loud, rowdy, etc.
Now, I'm part of a Beta "pack" at school, and we basically find our identity in NOT being the loud, drunken slops who go out and get shitfaced and act like assholes. We are stoners. Most of the time, we sit around and play video games, debate, play pranks on each other, and so forth. When people of this other drunken, sloppy variety join up to hang out with us for an afternoon, they say we're "too much," that they feel like they have to be on their toes instead of just being carefree and drunk and not giving a shit about how they act. They don't like it, and they usually dismiss it as immature.
There's an underlying power dynamic in the group, a constant kind of one-upsmanship: even in something like a video game, there's clearly a kind of competition beyond just winning or losing the game, and when one person wins, they take no qualms in berating whoever they lose, albeit in a jokey fashion. Even in a conversation, if you do or say something silly that shows that you're not really all there, you'll get a little jab or poke of an insult; not hurtful or mean, but just a little teasing to keep you on your toes mentally.
There is, however, a good bit of drama, and there's no denying it. You can pretty much count on the fact that someone has done something questionable recently and given that we're a pretty tight knit group, it probably involved at least one other person from the group, so everyone is going to be talking about it. We don't create drama; if anyone was suspected of that, they would be completely shunned, no questions asked. But when you've got as many nutty people as us in one place, drama just happens.
Another one of the things that characterizes our group is our propensity for "events" and entrepreneurial activities. We generally have disorganized, impulsive activities and just hang around, but once or twice a week we'll pool our efforts and money and do something together, even if it's as small as rolling a bunch of blunts and driving to wal-mart to goof off and buy new shit to improve our rooms or whatever. Sometimes it's a camping trip. Sometimes it's a drug deal. Sometimes we make art. Sometimes we build stuff. It's just our way of reminding ourselves that we can do more together than apart, I guess.