Classification of the order Hyolithida
Or. †Hyolithida Mathew 1962
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G. †Aimitus
Subor. †Aladracina Geyer 2018
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Fm. †Aladracidae Geyer 2018
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G. †Aladraco Geyer 2018
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†Aladraco kirchhainensis Geyer and Malinky 2020
†Aladraco schloppensis Wurm 1925
G. †Oxyprymna Kiderlen 1933
G. †Altaicornus
G. †Amydaicornus
G. †Anabaricornus
G. †Angusticornus
Fm. †Atdabanithidae Meshkova 1974
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Fm. †Australothecidae Malinky 2009
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G. †Australotheca Malinky 2009
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†Australotheca kirkbyi Howse 1857
†Australotheca lanceolata Morris 1845
G. †Borealicornus
G. †Brevilabiatus
Fm. †Carinolithidae Valent et al. 2011
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G. †Carinolithes Sysoev 1958
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†Carinolithes bohemicus Valent et al. 2011
†Carinolithes pennatulus Holm 1893
G. †Cavernolites
Fm. †Crestjahitidae Syssoiev 1968
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G. †Crestjahitus Syssoiev 1968
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†Crestjahitus compressus Syssoiev 1968
†Crestjahitus delphus Resser and Endo 1937
†Crestjahitus distortus Syssoiev 1962
†Crestjahitus figuratus Rozanov et al. 1969
†Crestjahitus ornatus Syssoiev 1968
G. †Decipilites
G. †Doescherina
G. †Emarites
G. †Erraticornus
G. †Firmicornus
G. †Galicornus
G. †Glossolites Luo and Hu 1999
G. †Gompholites
G. †Goniocornus
G. †Grantitheca
Fm. †Hyolithidae Nicholson 1889
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G. †Elegantilites Marek 1966
G. †Hallotheca Malinky et al. 1987
G. †Haplophrentis Babcock and Robison 1988
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†Haplophrentis carinatus Matthew 1899
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Invalid names: Haplophrentis cecrops Walcott 1917 [synonym], Haplophrentis costatus Matthew 1901 [synonym]
†Haplophrentis reesei Babcock and Robison 1988
G. †Hyolithes d'Eichwald 1840
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†Hyolithes aclis Hall 1879
†Hyolithes acutus d'Eichwald 1840
†Hyolithes aliger Resser and Endo 1937
†Hyolithes americanus Hall 1847
†Hyolithes amosi Gonzalez and Sabattini 1972
†Hyolithes aplatus Resser and Endo 1937
†Hyolithes asteroideus Reed 1909
†Hyolithes cariniferus Resser and Endo 1937
†Hyolithes columbanus Reed 1909
†Hyolithes conularioides Tate 1892
†Hyolithes daphnis Walcott 1905
†Hyolithes delia Walcott 1905
†Hyolithes dorbignyi Kozlowski 1923
†Hyolithes endoi Howell 1946
†Hyolithes exilis Resser and Howell 1938
†Hyolithes fuchouensis Resser and Endo 1937
†Hyolithes gibbosus Hall and Whitfield 1872
†Hyolithes girvanensis Reed 1909
†Hyolithes hathewayi Mathew 1899
†Hyolithes immemor Reed 1909
†Hyolithes kuantungensis Resser and Endo 1937
†Hyolithes mantouensis Resser and Endo 1937
†Hyolithes minutissimus Yoo 1988
†Hyolithes multicinctus Bradley 1930
†Hyolithes multipunctatus Reed 1909
†Hyolithes obesus Holm 1893
†Hyolithes ornatellus Resser 1939
†Hyolithes paishanensis Endo 1937
†Hyolithes penkillensis Reed 1909
†Hyolithes primordialis Hall 1861
†Hyolithes sondai Resser and Endo 1937
†Hyolithes sonora Lochman 1952
†Hyolithes tenuis Resser and Endo 1937
†Hyolithes vanuxemi Walcott 1884
†Hyolithes wanneri Resser and Howell 1938
†Hyolithus mimicus Cobbold 1931
†Hyolithus pallidus Cobbold 1931
Invalid names: Theca Morris 1845 [synonym]
G. †Nevadotheca Malinky 1988
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†Nevadotheca cybele Walcott 1905
†Nevadotheca excellens Billings 1872
†Nevadotheca heckeli Malinky 1988
†Nevadotheca princeps Billings 1872
†Nevadotheca whitei Resser 1938
G. †Sololites Marek 1967
G. †Yalarrnga Kruse 2002
Subor. †Hyolithina Mathew 1899
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Fm. †Sulcavitidae Syssoiev 1958
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G. †Ambrolinevitus Syssoiev 1958
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†Ambrolinevitus platyputeus Qian 1978
†Ambrolinevitus ventricosus Qian 1978
G. †Burithes Rozanov et al. 1969
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†Burithes cuneatus Rozanov et al. 1969
†Burithes distortus Syssoiev 1962
†Burithes elongatus Missarzhevskiy 1969
†Burithes erum Rozanov et al. 1969
†Burithes yunnanensis Hou et al. 1999
G. †Dorsolinevitus Syssoiev 1958
G. †Kulangarra Kruse 2002
G. †Paraeonovitatus Qian 1989
G. †Trapezovitus Syssoiev 1958
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†Trapezovitus sinscus Syssoiev 1958
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Invalid names: Trapezovitus minutus Syssoiev 1962 [synonym], Trapezovitus semicirculatum Syssoiev 1962 [synonym]
G. †Yankongovitus Qian 1978
G. †Ingolitotheca
G. †Insignicornus
G. †Insolitotheca Landing and Bartowski 1996
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G. †Jacuticornus
G. †Jacutolitus
G. †Joachimilites
G. †Ketemecornus
G. †Kuonamkicornus
G. †Lenalitus
G. †Lirotheca
G. †Meitanovitus Qian 1978
Fm. †Nelegerocornidae Meshkova 1974
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G. †Microcornus Mambetov 1972
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†Microcornus egregius Demidenko 2001
†Microcornus elongatus Missarzhevsky 1980
†Microcornus eximius Duan 1984
†Microcornus parvulus Mambetov 1972
†Microcornus petilus Bengtson et al. 1990
†Microcornus pinyuis Duan 1984
†Microcornus simus Missarzhevsky 1974
G. †Nitoricornus
G. †Notabilitus
G. †Oblisicornus
G. †Oxytus
G. †Parakolithes He et al. 1984
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†Parakolithes delicatus He et al. 1984
†Parakolithes mammillatus He et al. 1984
G. †Parakorilithes
G. †Parkula Bengtson et al. 1990
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†Parkula bounites Bengtson et al. 1990
†Parkula esmeraldina Skovsted 2006
G. †Patholites
G. †Pauxillites
Fm. †Pauxillitidae Marek 1967
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G. †Leolites Marek 1967
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†Leolites ardmillanensis Reed 1909
†Leolites candidus Reed 1909
†Leolites cognatus Marek 1967
G. †Neopauxillites Malinky 1989
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†Neopauxillites terranovicus Walcott 1890
†Neopauxillites zlatarskii Malinky 1989
G. †Rarissimetus
G. †Rodentilites
Fm. †Similothecidae Malinky 1988
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G. †Similotheca Malinky 1988
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†Similotheca bastionense Malinky and Skovsted 2004
†Similotheca groenlandica Malinky and Skovsted 2004
†Similotheca similis Walcott 1890
Fm. †Slapylitidae Valent et al. 2017
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G. †Tajinella
G. †Tizilites
G. †Tulenicornus
G. †Virgatotheca
G. †Yacutolithuus
Invalid names: Matthevina Fisher 1962 [empty]