In Chrome on your desktop computer, click either the ⋮ triple-dot (Mac) or More (Windows) menu item in the top right.
Then, select More Tools > Clear Browsing Data.
Select the Advanced tab and change the Time range dropdown to All time.
Uncheck all checkboxes and then check Passwords and other sign-in data. Finally, click the Clear data button.
The Clear browsing data window will close automatically. You're all done!
Being able to create tab groups in Google Chrome is great, but being able to save them for the next time you open Chrome is even better.