Create custom nested subgroups under main session group

We would like to be able to create a subgroup under an organization (based on things like Notes and Session Names) and then be able to give the subgroups custom names.

Example:

Main Session Group: Hospital (CustomProperty1 LIKE 'Hospital')

Subgroup: Clinic Machines (Name LIKE '*Clinic*')

Hospital (All Machines)

 >Clinic Machines (Only machines with "Clinic" in the name)

Thanks!