Rhynchonellata
Biconostrophia Havlicek, 1956
Carinatina Nalivkin, 1930
Carinatrypa Copper, 1973
Eifelatrypa Copper, 1973
Mangkeluia Xu, 1991
Mogoliella Ishnazarov, 1972
Plesicarinatina Mizens, 1977