A user can only see/view the meetings they either create or are invtied to under the "Current" tab.
It would be beneficial to see a calendar or master list of all meetings created by a group.
In CAS we have a shared GCal that shows all our meetings. One reason we have this is to make the rest of the team is aware of our schedule. If someone happens to be sick or out of the office, the rest of the team knows and can fill in or at least notify the client to reschedule.
The groups can be at different levels but not sure if SO is that intuitive. Ideally it would show a list of all CSE meetings, CAS meetings, etc. However, it may just come down to showing the meetings for site members such as the Support site.