profile assigned to device group
This is arguably somewhat of a gap. You can't really inspect a Group and see what Profiles are assigned to it. You can go to the Profiles themselves and see what Groups they're assigned to, or you can inspect a device that is a member of a Group to see what Profiles it has assigned, but that scenario doesn't account for other Profiles that might be assigned to the group but don't apply to a particular device because of some Filter Criteria.
The simplest approach is to drag a spare device you have in hand to the group of interest, and check on the web-console all the profiles, rules and advanced configurations that are deployed onto the device . This of course might not work 100% perfectly if some of the profiles have advanced filter options (such as based on device brand, model, etc.) enabled and your spare device does not fulfill the filter criterion.