There are these hotkeys:

F - Previous Group
G - Next Group

But I did not manage to make them do anything. I have more groups, and I also have the “Display group and attribute list” switched ON, but pressing G or F still does nothing. Please, how do you use these hotkeys?

It looks like you need to have the mouse over some geometry for these hotkeys to work.

Thank you very much. I have tried it but it is still not working. Maybe I have some glitch here with my combination of Wacom, Nvidia and other windows drivers. Thank you.