Democrats usually have majorities of between 250 and 270 seats. The bulk of GOP-run houses during this time period, however, saw the majority party controlling between 220 and 240 seats. The one large Republican majority in this time period comes from the incoming 112th Congress, in which Republicans will have north of
255 240 seats. This is highly unusual for Republicans -- the last time they controlled this many seats, Herber Hoover Harry Truman was president.
Republicans often get credit for running the chamber with tighter discipline than Democrats have, but that may simply be a function of majority size; a small majority can't tolerate many defections. We'll know more about how large Republican majorities behave soon enough.
Update: I originally grossly inflated the Republican numbers in the 112th House. I'm not sure how I did this. At any rate, I've edited the post and the graph accordingly. The lesson, thankfully, is still valid.