Creating a ticket with a group as an Admin CC

I have a user who wants to create new tickets, and optionally send a
notification of its newness to all people in a group, however it
doesn’t look as easy as one would presume. Once a ticket is created,
you can add the group as an Admin CC and they will receive all future
updates, however there appears to be no easy way of adding a group at
creation of a ticket so they receive a notification. Is there
something I’m missing?