Rhynchonellata
Antirhynchonella Quenstedt, 1869
Apopentamerus Boucot & Johnson, 1979
Barrandella Hall & Clarke, 1894
Bisulcata Boucot & Johnson, 1979
Boucotides Amsden, 1968
Brooksina Kirk, 1922
Capelliniella Strand, 1928
Clorinda Barrande, 1879
Eokirkidium Khodalevich & Sapel'nikov, 1970
Eurostosoma
Gypidula Hall, 1867
Gypidulina Rzhonsnitzkaya, 1956
Harpidium Kirk, 1925
Jolvia Sapel'nikov, 1960
Kirkidium Amsden, Boucot & Johnson, 1967
Lissocoelina Schuchert & Cooper, 1931
Nanukidium Jones, 1979
Pentamerella Hall, 1868
Pentamerifera Khodalevich, 1939
Pentameroides Schuchert & Cooper, 1931
Pentamerus Sowerby, 1813
Procerulina Andronov, 1961
Rhipidium Schuchert & Cooper, 1931
Stenopentamerus Boucot & Johnson, 1979
Supertrilobus Boucot & Johnson, 1979
Twenhofelia Boucot & Smith, 1978
