Just some thoughts from several decades of managing *nix email, MS Mail, and Exchange:
Start by asking the group's manager(s) whether the group is still necessary. If the group's manager is no longer an employee, find a new manager for the group.
Groups without members may be legitimate. I used to use them for the purpose of simply dropping messages that were replies to e-mail sent with a "do-not-reply" address.
Use the message tracking logs and find the events that correspond to the expansion of a DL. Keep the information in a small database (XML would be good for this, although a CSV could also work). It the group hasn't been used (i.e., expanded) in some time, consider it a good candidate for further investigation.