Sorry -- let me try to help clarify...

We implemented the CMDB first, and the consulting company we used populated the Support Group field on the CI records, and left the assignment group field blank.

When Change Requests are opened, we are taking the value from the CI table, Support Group and populating the RFC with that group name in the field labeled Assignment Group.  The field on the Change Record Form is labeled "Assignment Group", but the workflow is written to populate the field with the data for the CI in the Support Group field.

Some of the other modules - Incident, Change, etc use the terminology of Assignment Group. 

On the back side, they are all in the same group table... and I think our team is getting hung up on the terminology difference...

What data should be in the Assignment Group Field and which data should be in the Support Group field. 

Both fields reference back to the exact same place - the sys_user_group table.

I found one community article that said "pick one -- assignment group or support group, whichever makes the most sense to your company".

I think our team is trying to make them 2 separate things, and are hung up on the names of the fields.