Classification of Frey 1995
Or. †Orthocerida Kuhn 1940
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Fm. †Pseudorthoceratidae Flower and Caster 1935
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G. †Isorthoceras Flower 1962
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†Isorthoceras albersi Miller and Faber 1894
†Isorthoceras rogersensis Foerste 1914
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Invalid names: Treptoceras praenuntium Flower 1942 [synonym]
G. †Anaspyroceras Shimizu and Obata 1935
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†Anaspyroceras cylindricum Foerste 1932
Or. †Actinocerida Teichert 1933
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Fm. †Ormoceratidae Saeman 1853
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G. †Deiroceras Hyatt 1884
G. †Ormoceras Stokes 1840
G. †Orthonybyoceras Shimizu and Obata 1935
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†Orthonybyoceras dyeri Miller 1875
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Invalid names: Orthonybyoceras covingtonense Foerste and Teichert 1930 [synonym]
Or. †Oncoceratida Flower and Kummel, Jr. 1950
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Or. †Tarphyceratida Flower and Kummel, Jr. 1950
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Fm. †Oncoceratidae Hyatt 1884
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G. †Beloitoceras Foerste 1924
G. †Laphamoceras Foerste 1933
G. †Maelonoceras Hyatt 1884
G. †Ordogeisonoceras Frey 1995
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†Ordogeisonoceras amplicameratum Hall 1847
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Invalid names: Michelinoceras ludlowense Miller and Faber 1894 [synonym]
†Maelonoceras praematurum Billings 1860
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Invalid names: Maelonoceras billingsi Foerste 1924 [synonym]
†Laphamoceras scofieldi Foerste 1932
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Invalid names: Cyrtoceras billingsi Clarke 1897 [synonym]
Fm. †Proteoceratidae Flower 1962
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G. †Monomuchites Wilson 1961
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†Monomuchites annularis Frey 1995
†Monomuchites obliquum Frey 1995
G. †Proteoceras Flower 1955
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G. †Treptoceras Flower 1942
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†Treptoceras cincinnatiensis Miller 1875
†Treptoceras duseri Hall and Whitfield 1875
†Treptoceras fosteri Miller 1875