I'm an introvert, too. I have no troubles participating in, or leading, or even fighting in group activities. Does it exhaust me? Yes, it does. I literally feel physical pain if I have to stay in company for more than maybe an hour. But value is created through interaction, not some process, paper stacks, or a lone wolf hiding in the closet, so I learned a long time ago how to communicate effectively, give and take feedback, organize tight meetings, and facilitate decision making.

I'm actually a bit tired of introverts hiding behind their disposition. You can do something about it, and it's more than complaining.

EDIT: Sorry, that was more rantish than I wanted. But I'll leave it here anyway.