Brachiopoda Duméril, 1806
Acanthotoechia Williams & Curry, 1985
Admixtella Rozman, 1978
Asymphylotoechia Ross, 1970
Deltatreta Ulrich, 1916
Eremotoechia Cooper, 1956
Martellia Wirth, 1936
Peritritoechia Xu, Rong & Liu, 1974
Polytoechia Hall & Clarke, 1892
Pomatotrema Schuchert & Cooper, 1932
Protambonites Havlicek & Josopait, 1972
