Hi Paolo,
No, these tagging is not supported in SAP standard OM. So just go ahead re-purpose any OM infotype as long it can store these information on there.
The issue with storing this information in infotypes is that there is no graphical interface (like PPOME) where the user can automatically identify which is the department, which is group etc. without checking this information for each individual org unit in PP01.
Cheers
Stephen