Kingdom Animalia Linnaeus, 1758 - animals
   Phylum Brachiopoda Duméril, 1806 - brachiopods
     Class Articulata Huxley, 1869
       Order Rhynchonellida Kuhn, 1949
         Genus Acanthothiris d'Orbigny, 1850
         Genus Hemithyris Bronn, 1848 see Genus Hemithiris d'Orbigny, 1847
         Genus †Kallirhynchia Buckman, 1917
         Genus Notosaria Cooper, 1959
         Genus †Pugnax Hall & Clarke, 1893
         Genus †Rhynchotreta Hall, 1879
         Genus †Rostricellula Ulrich & Cooper, 1942
         Genus †Sphaerirhynchia Cooper & Muir-Wood, 1951
         Superfamily Stenoscismatacea Oelert, 1887, nom. illeg. see Superfamily Stenoscismatoidea Oehlert, 1887