Problem with unwanted computer groups

Hi All,

Very often I am pushing actions that are targeted onto the same automatic groups (around 40 groups). The problem is that there is around 1000 of groups and choosing the one proper group every time is very very annoying.
In other words:
If I want to push an action, in “Target” tab I may provide machine names manually or I may choose All Computers -> By Group -> and then I have to find proper group out of 1000 groups…
Those groups are listed alphabetically so one of the solution might be to copy all groups that interest me, add dot at the beginning of it name, and add them to my site. Thanks to this all groups will be listed at the beginning of this very very long list, but I don’t think that this is a good solution.
Is there a way to hide unwanted automatic/manual groups?
Or is there a way to create additional catalog for example:
All Computers -> By Group -> My favorite groups -> (here would be all groups that interest me) ???
Many many many of those 1000 groups were created by other teams and I am unable to do anything with this.
Please advice.

Can you put your groups into a Custom Site?