One option would be to create some filters in query designer to deliver the list of groups you want, this has several ways of filtering including is one of and so on. Then once those are working use the object designer to put all the filters on the group attribute and make these conditional filters so that the first one is only used if the support group is A, the second only used if the support group is B and so on. Depending on how many combinations you have, that should work.
There is also an good article on a general method of changing how you can control the list here which is worth a read: