Rhynchonellata
Archaeorthis Schuchert & Cooper, 1931
Diochthofera Potter, 1988
Leoniorthis
Ocorthis Melou, 1982
Orthambonites Pander, 1830
Orthostrophella Amsden, 1968
Orthostrophia Hall, 1883
Paralenorthis Havlicek & Branisa, 1980
Planidorsa Schuchert & Cooper, 1931
Sinorthis Wang, 1955
Sivorthis Jaanusson & Basse, 1993
Sulcatorthis Zeng, 1987
Sulevorthis Jaanusson & Basse, 1993
Suriorthis Benedetto, 2003
Taphrorthis Cooper, 1956
Trondorthis Neuman, 1974
Yichangorthis Zeng, 1987
