If you use Tab Groups "a lot", then this might be of interest (yes, it is self advertising 
): FAYT script : Dynamic Tab Groups - #9 by PassThePeas
It offers both FAYT and dynamic menu generation for your tab groups, allowing to load/unload them in complement to the current tabs of your listers.
Since the menus are dynamically generated, it does not offer icon customization per group (could be doable but would largelly complicate user configuration).