Classification of the family Arietitidae
Fm. †Arietitidae Hyatt 1875
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Fm. †Agassiceratinae Spath 1924
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G. †Agassiceras Hyatt 1874
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†Agassiceras colesi Buckman 1845
†Agassiceras scipionianum d'Orbigny 1844
Invalid names: Aetomoceras Hyatt 1900 [synonym]
G. †Euagassiceras Spath 1924
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†Euagassiceras althii Herbich 1878
†Euagassiceras sauzeanum d'Orbigny 1844
†Euagassiceras spinaries Quenstedt 1858
†Euagassiceras striaries Quenstedt 1830
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Invalid names: Euagassiceras eximium Guérin-Franiatte 1966 [synonym], Euagassiceras minutum Guérin-Franiatte 1966 [synonym], Euagassiceras tenerrimum Guérin-Franiatte 1966 [synonym]
Invalid names: Claviceras Venturi and Nannarone 2002 [synonym], Paracoronites Buckman 1927 [synonym], Pseudagassiceras Dommergues et al. 2004 [synonym]
Fm. †Alsatitinae Spath 1924
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G. †Alsatites Haug 1894
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†Alsatites bipartitus Hillebrandt 2000
†Alsatites laqueus Quenstedt 1856
†Alsatites liasicus d'Orbigny 1844
†Alsatites nigromontanus Guembel 1884
†Alsatites pamlicoensis Taylor 1998
Invalid names: Proarietites Lange 1922 [synonym], Tayloricites Guex 1987 [synonym]
G. †Gonioptychoceras Lange 1941
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Invalid names: Alsatitoides Guex 1980 [synonym], Proarnioceras Blind 1963 [synonym]
G. †Pseudaetomoceras
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†Pseudaetomoceras castagnolai Cocchi 1882
†Pseudaetomoceras doetzkirchneri Guembel 1861
†Pseudaetomoceras shoshonense Taylor 1998
†Pseudaetomoceras victoriense Longridge et al. 2008
Invalid names: Proarietitinae Spath 1924 [synonym]
Subfm. †Arietitinae Hyatt 1875
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G. †Arietites Waagen 1869
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†Arietites bonnardii d'Orbigny 1879
†Arietites geometricus Oppel 1856
†Arietites longicellus Quenstedt 1858
†Arietites quadratus Donovan 1952
†Arietites semicostatus Young and Bird 1828
†Arietites wichmanni Rothpletz 1892
†Coroniceras (Arietites) bisulcatus Bruguière 1789
Invalid names: Arieticeras Quenstedt 1882 [nomen vanum], Coroniceras (Megarietites) Spath 1922 [synonym]
G. †Arnioceras Hyatt 1867
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†Arnioceras arnouldi Dumortier 1867
†Arnioceras bodleyi Buckman 1844
†Arnioceras cuneiforme Hyatt 1867
†Arnioceras fieldingiceroides Dommergues and Faure 1986
†Arnioceras insolitum Fucini 1902
†Arnioceras mendax Fucini 1902
†Arnioceras miserabile Quendstedt 1858
†Arnioceras nevadanum Gabb 1870
†Arnioceras paucicostum Fucini 1901
†Arnioceras pseudokridion Spath 1924
†Arnioceras pseudoturneri Spath 1956
†Arnioceras rejectum Fucini 1902
†Arnioceras robustum Quenstedt 1884
†Arnioceras semicostatum Young and Bird 1828
†Arnioceras speciosum Fucini 1902
†Arnioceras transitionis Spath 1956
Invalid names: Arniotites [synonym], Burkhardticeras Lopez 1967 [synonym], Eparnioceras Spath 1924 [synonym], Laevispirus Venturi and Nannarone 2002 [synonym], Melanhippites Crickmay 1928 [synonym]
G. †Coroniceras Hyatt 1867
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Subg. †Coroniceras (Eucoroniceras) Spath 1922
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†Eucoroniceras sinemuriensis d'Orbigny 1844
Invalid names: Coroniceras (Pseudoasteroceras) Spath 1922 [synonym]
Subg. †Coroniceras (Guexiceras) Taylor 1998
Subg. †Coroniceras (Paracoroniceras) Spath 1922
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†Coroniceras (Paracoroniceras) mutabile Macchioni et al. 2005
†Paracoroniceras gmuendensis Oppel 1856
†Coroniceras alcinoe Reynes 1879
†Coroniceras caprotinum d'Orbigny 1844
†Coroniceras charlesi Donovan 1955
†Coroniceras deffneri Oppel 1862
†Coroniceras fergusoni Taylor 1998
†Coroniceras freboldi Sun and Zhu 1980
†Coroniceras gallicum Guérin-Franiatte 1966
†Coroniceras grantsvillense Taylor 1998
†Coroniceras involutum Taylor 1998
†Coroniceras kridion Zieten 1830
†Coroniceras luningense Taylor 1998
†Coroniceras multicostatum Sowerby 1824
†Coroniceras oblongaries Quenstedt 1884
†Coroniceras planaries Reynes 1879
†Coroniceras subrotiforme Parona 1896
†Coroniceras volcanoense Taylor 1998
Invalid names: Arietites pseudospiralis Vadász 1908 [nomen dubium], Arnioceratoides Spath 1922 [synonym], Epammonites Spath 1922 [synonym], Pararnioceras [synonym], Primarietites Buckman 1926 [synonym], Saccaiaceras Venturi and Nannarone 2002 [synonym]
G. †Longziceras Wang and He 1981
G. †Schreinbachites Bloos 1994
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†Schreinbachites laqueoides Hyatt 1889
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Invalid names: Arietites francojurensis Kuhn 1934 [synonym], Gyrophioceras inversum Guerin-Franiatte 1990 [synonym]
†Schreinbachites praecursor Maubeuge 1987
†Schreinbachites retroversicostatus Canavari 1882
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Invalid names: Arietites anastreptoptychus Waehner 1891 [synonym]
†Schreinbachites vaihingensis Bloos 1994
G. †Vermiceras
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Subg. †Vermiceras (Gyrophioceras) Spath 1924
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†Gyrophioceras mineralense Taylor 1998
†Gyrophioceras morganense Taylor 1998
†Gyrophioceras praespiratissimum Wahner 1887
†Gyrophioceras praespiratissimus Wahner 1887
†Gyrophioceras supraspiratum Wahner 1888
Subg. †Vermiceras (Paracaloceras) Spath 1923
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†Paracaloceras concavum Taylor 1998
†Paracaloceras coregonense Sowerby 1831
†Paracaloceras haueri Guembel 1861
†Paracaloceras multicostatum Frebold 1967
†Paracaloceras rursicostatum Frebold 1967
†Paracaloceras varaense Hillebrandt 2000
Invalid names: Vermiceras (Alpinoceras) Lange 1941 [synonym], Vermiceras (Centauroceras) Blind 1963 [synonym]
Subg. †Vermiceras (Vermiceras) Hyatt 1889
†Vermiceras densicostatum Taylor 1998
Invalid names: Dalaticeras Meister et al. 2002 [synonym], Diplosellites Buckman 1925 [synonym], Discoceras Hyatt 1867 [replaced], Keynshamites Buckman 1926 [synonym], Metophioceras Spath 1924 [synonym], Protocymbites Spath 1923 [synonym]
Invalid names: Arnioceratidae Spath 1924 [synonym]
G. †Bartoliniceras Taylor et al. 2001
Subfm. †Hypasteroceratinae Venturi and Nannarone 2002
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G. †Hypasteroceras Spath 1923
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†Hypasteroceras montii De Stefani 1877
†Hypasteroceras planulatum Fucini 1903
Invalid names: Asaphoceras Spath 1924 [synonym], Cancelliceras Venturi and Nannarone 2002 [synonym], Oxydiscoceras Venturi and Nannarone 2003 [synonym]
Subfm. †Pseudotropitinae Donovan and Forsey 1973
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Invalid names: Aegoceras albense Herbich 1878 [nomen dubium]