Add tab/page to group on other page

PRIORITY IN MY OPINION: 5 on a scale from 1 (low) to 10 (high)

At the moment, it is great that tabs can be moved to a new window, other windows in profile and other profiles. There is also an option to add tabs to groups. However, this only applies within the current window. It would be ideal to be able to move tabs to another group on a different window (but in the same profile).