Petals Around the Rose: Fraternity Register

I started on this puzzle after being referred to the site by Rain (admin on Bridge Base Online). I continued playing bridge while haphazardly guessing and recording the actual result. After about thirty trials, I figured that order did not matter. After another hundred, of more mindless guessing and attentive bridge playing, I set it aside for dinner. I realized over a glass of wine the irrelevant data. From there, only five trials was necessary to solve the puzzle. Then I read the title and it all became too obvious!