Brachiopoda Duméril, 1806
Acrotretidae Schuchert, 1893
Angarella Asatkin, 1932
Biernatidae
Ceratretidae
Craniotreta Termier & Monod, 1978
Curticiidae
Eleutherocrania von Huene, 1899
Eoconulidae
Ephippelasmatidae Rowell, 1965
Ferralstreta
Lingulida Waagen, 1885
Orbiculopora
Pseudometoptoma von Huene, 1899
Scaphelasmatidae
Schizotretoides Termier & Monod, 1978
Siphonotretidae Kutorga, 1884
Torynelasmatidae
