After reviewing other users questions/issue it appears this hasn't been addressed.
When creating a TABLE group (not a group header/footer) the TABLE group header has no option of displaying on each page when the group spans multiple pages. The advice to make ColumnHeaders = True doesn't help because when you add a group header that row is inserted below the table's header row and thus this doesn't apply to the group header row.
I'd like to suggust a setting in the table group properties menu to display the header on each page, ideally with an option to display a suffix such as "cont."