then I guess the answer is this

Another scenario is the in the group of 32 teams, 28-30 have similar q but as there aren't enough teams with this q, the game takes 3-4 teams above or bellow to complete the 8 groups.
your team (and some others) was chosen to complete a higher q CH.L. group.

Another question, just to be sure.
Did you sell you high q players before go for sleep (Saturday night) or left the team with some players in selling option (meaning that maybe they have been sold after the draw) ?