Paul,
How is it going? Groups are not model elements or building component categories. Revit's schedules model category elements, so groups which are made up of model category elements and detailed components would not be a schuduled item.
You could use the room schedule to find the number of groups represented by that room name. Just place a room boundary in your group and everytime you place the group the room is placed as well.
Mel Persin, AIA
AEC Technology Consultant
Technology to Visualize and Realize Solutions
MasterGraphics, Inc.