I see that this is still not resolved in version 7. As others have stated over the years, all the relevant contact info is present on an individual basis, but the group name itself shows no contacts. The relevant contacts show the group’s name in their properties. This has not been addressed even though it has been brought up numerous times over several years, and would seem to be a fairly easy fix.
Please take steps to resolve this - it has been a bug for way too long