Rhynchonellata
Acosarina Cooper & Grant, 1969
Aulacophoria Schuchert & Cooper, 1931
Eoschizophoria Rong & Yang, 1980
Kotlaia Grant, 1993
Neoschizophoria Yanagida, 1983
Orthotichia Hall & Clarke, 1892
Ortotichia Tschernyschev, 1914
Palaeoschizophoria Fu, 1982
Salopina Boucot, 1960
Schizophoria King, 1850