I'm looking at my organizations groups. Whether I'm logged in as admin, another organizational user, or anonymous member of the public, the group created date is displaying the date of the last edit to the group.
See:
created by admin on May 14, 2014
Even though it was created some time ago. Not the worst error, but I don't want folks thinking an important group was just started today every time I make a change to it. I looked all over and found a JavaScriptAPI bug resolved here, sort of similar.