Different reply templates for different support groups?

Different reply templates for different support groups?

My org is running SDP 11.0 and we have different support groups for different internal teams.  Currently we have a global reply template, but we have a need to use different templates for each support group.  Is it possible to customize this such that support group 1 and support group 2 each have their own reply template?

EDIT: for clarity I am talking about the reply template that is used when a technician clicks the reply button on a ticket.

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