Why Was the Republican Party Unable to Win Control of the U.S. House for 40 Years (1955-1995)?

For context, I understand why Democrats had a lot of dominance in American political life during the mid-20th century (e.g., the New Deal was broadly popular, Democrats still held significant sway in the South, etc.). But the Republicans weren't totally out of power, winning the presidency multiple times during the same period and taking control of the Senate on several occasions.

Was there something about the House during this period in particular that was weighted against Republican control (e.g., gerrymandering)? Did the Republican party suffer from systemic problems that made it more difficult to win House seats vs. Senate seats/the Presidency?