How to - Filtering Groups in a Board?

I have a board. It has groups. I can ask for a single board, and get its groups. So all I want to do is ask my query to return if the one group I am interested in exists. If it does not, I will create that group within the board.

It seems I cannot do this simple filter. I feel like it is a simple thing to ask for.

query {
  boards(ids:[1111222234444]) {
    groups(title: "FooBuzz") {

This of course chokes as title is apparently not accepted as a filter even though the docs mention it. How does one filter for a group then?