The NCAA does not list 1938 and 1953 but does recognize 1919 and 1964, making Notre Dame a national champion selection in thirteen seasons: 1919, 1924, 1929, 1930, 1943, 1946, 1947, 1949, 1964, 1966, 1973, 1977, 1988.
On its site, the NCAA doesn’t recognize USC as the champion for 1928 and 1939, although we claim the title for both years.