A way to sort WordPress themes?

I want to write a plugin which can sort themes into categories.
For example
I have Categories

3 themes in Business as subfolder from /themes/business

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7 themes in Nature /themes/nature

2 themein in private /themes/private

by default WordPress shows me all 12 themes in the backend.

I tried to change the theme root

add_filter("theme_root","tr");
function tr($J){
print_r($J);//if yo udo this you see the main theme folder
$J="/www/wp-content/new-themes"; //folder new-themes exists
return $J;
}

but in general this does not work.

Any ideas are highly appreciated.

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