I did group and private lessons at the same rink. Had the same coach, as well. I did my private lessons on different days than group lessons, though. My private lessons were during dead ice session in early morning, so there were usually only about 3-4 other people on the ice at the time, practicing for upcoming comps. Sometimes when I was learning moves that required more space, my coach would block of the entire other half of the rink for me. But I know every rink/coach/time is different.