Stenolaemata Borg, 1926
Acantholaminatus Marintsch, 1998
Acanthotrypa Vinassa de Regny, 1915
Acanthotrypina Vinassa de Regny, 1921
Aisenvergia Dunaeva, 1964
Aisenvergiidae Dunaeva, 1964
Amphiporella Girty, 1910
Amplexoporidae Miller, 1889
Amsassipora Jaroshinskaja, 1960
Anisotrypa Ulrich, 1883
Anisotrypidae
Annunziopora
Aostipora Vinassa de Regny, 1921
Araxoporidae Morozova, 1970
Arcticopora Fritz, 1962
Armillopora Yang & Hu, 1981
Asperopora Owen, 1969
Astralochoma Ross, 1988
Astralochomidae
Astroviella Pushkin, 1973
Astroviellina Pushkin, 1973
Atactotoechidae Duncan, 1939
Balticopora Vinassa de Regny, 1921
Balticoporella Vinassa de Regny, 1921
Batostomellidae
Batostomellina Vinassa de Regny, 1921
Bimuropora Key, 1990
Bimuroporidae
Calacanthopora Duncan, 1939
Calamotrypa Owen, 1962
Capillapora
Champlainopora Ross, 1970
Chondraulus Duncan, 1939
Crustopora Dunaeva, 1964
Crustoporidae
Cyclopora Prout, 1860
Cycloporella Ulrich, 1889
Cycloporidae
Dianulitidae
Diazipora Vinassa de Regny, 1921
Diplostenopora Ulrich & Bassler, 1913
Diplotrypidae
Discotrypa Ulrich, 1882
Discotrypina Astrova, 1959
Dittopora Dybowski, 1878
Dittoporidae
Dyoidophragma Duncan, 1939
Dyscritellidae Dunaeva & Morozova, 1967
Eodyscritella Troitskaya, 1970
Eostenopora Duncan, 1939
Eostenoporella
Eridocamplyus
Eridotrypella Duncan, 1939
Eridotrypellidae Morozova, 1960
Eridotrypellina Astrova, 1965
Esthoniopora Bassler, 1911
Esthonioporidae
Esthoniporella
Gortanipora Vinassa de Regny, 1921
Halloporidae
Halloporina Bassler, 1913
Helenoporidae
Hemieridotrypa Astrova, 1965
Hemieridotrypidae
Heterotrypidae Ulrich, 1890
Hexaporites Pander, 1830
Hinaclema Sakagami & Sugimura, 1987
Hubeipora
Hunanopora
Idioclema Girty, 1910
Idiotrypa Ulrich, 1883
Iraidina Kiseleva, 1982
Jordanopora Ross, 1963
Kalevipora
Kielcepora Dzik, 1992
Kysylschinopora
Lamottopora Ross, 1963
Leeporina Vinassa de Regny, 1921
Leioclemidae
Leptotrypella Vinassa de Regny, 1921
Lioporida
Loxophragma Boardman, 1960
Maychellinidae
Mesotrypidae
Mesotrypina
Minussina Morozova, 1960
Mishulgellidae
Mojczatrypa Dzik, 1992
Mongoloclema Shlshova, 1970
Monticuliporidae
Multiphragma Yang & Hu, 1981
Nekhoroshoviella
Neoeridocampilus
Neotrematopora Morozova, 1960
Newportopora Ross, 1967
Nikiforopora Dunaeva, 1964
Nipponostenoporidae
Nipponstenopora
Orbignyella Ulrich & Bassler, 1904
Orbiporidae Astrova, 1978
Paleoatactoechus
Paratrachytoechus Hu, 1980
Parvohallopora Singh, 1979
Pedrogopora Buttler, 1991
Permoleioclema
Persiopora
Petalotrypa Ulrich, 1889
Phragmopora Vinassa de Regny, 1921
Phragmotrypa Schafer & Fois, 1987
Polycylindricus Boardman, 1960
Polyspinopora Yang & Hu, 1981
Polyteichus Pocta, 1902
Prasoporina Bassler, 1952
Pseudocampylidae
Pycnopora Girty, 1910
Qilianopora
Ralfimartitidae Gorjunova, 2005
Revalotrypa Bassler, 1952
Revalotrypidae
Salairia
Schulgina Morozova, 1957
Sinoatactoechus
Sonninopora
Spatiopora Ulrich, 1882
Stellahevaformis
Stenocladia Girty, 1910
Stenoporella Bassler, 1936
Stenoporellidae
Stenoporidae
Stereotoechidae
Stereotoechus Duncan, 1939
Stromatotrypa Ulrich, 1893
Tabuliporella Nikiforova, 1933
Tarphophragma Karklins, 1984
Tetratoechus Boardman & McKinney, 1976
Trachytoechus Duncan, 1939
Trematella Hall, 1886
Trematoporidae Miller, 1889
Trematoporina Astrova, 1965
Triplopora Troitskaya, 1970
Tubulitrypa
Ulrichotrypellidae
Volnovachia Dunaeva, 1964
Yichangopora
Yunnanopora Xia, 1987
Zlambachia
Zozariella Schafer & Fois, 1987
Zozariellidae Zagorsek, 1993