Classification of the family Ambocoeliidae
Fm. †Ambocoeliidae George 1931
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Subfm. †Ambocoeliinae George 1931
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G. †Ambocoelia Hall 1860
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†Ambocoelia tuberculata Goldman and Mitchell 1990
†Ambocoelia umbonata Conrad 1842
†Ambocoelia urii Fleming 1823
†Spirifer (Ambocoelia) circinatus Schellwien 1900
G. †Attenuatella Stehli 1954
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†Attenuatella altilis Waterhouse 1968
†Attenuatella attenuata Cloud 1944
†Attenuatella bandoi Tazawa 1987
†Attenuatella bisulcata Ustritsky 1960
†Attenuatella incurvata Waterhouse 1964
†Attenuatella mengi He et al. 2007
†Attenuatella mepailensis Waterhouse 1983
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Invalid names: Attenuatella convexa Waterhouse 1969 [replaced]
†Attenuatella multispinosa Waterhouse 1967
†Attenuatella omolonensis Zavodowsky 1968
†Attenuatella paraincurvata Lee and Su 1980
†Attenuatella piyasini Waterhouse 1983
†Attenuatella stringocephaloides Tschernyschew and Licharew 1939
†Attenuatella taimyrica Chernyak 1963
†Attenuatella texana Stehli 1954
†Attenuatella xiujumqinqiensis Lee et al. 1982
G. †Biconvexiella Waterhouse 1983
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†Biconvexiella convexa Armstrong 1968
†Biconvexiella roxoi Oliveira 1936
G. †Bisinocoelia
G. †Cruricella Grant 1976
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†Cruricella couria Grant 1976
†Cruricella curvata Jin and Sun 1981
†Cruricella minutalis Cooper and Grant 1976
†Cruricella subspeciosa Liao 1980
G. †Crurithyris George 1931
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†Crurithyris alaskensis Savage et al. 1978
†Crurithyris aquilonia Stehli and Grant 1971
†Crurithyris arcuata Girty 1910
†Crurithyris calendae Johnson 1971
†Crurithyris changmeensis Li 1986
†Crurithyris clannyana King 1848
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Invalid names: Martinia winchiana King 1848 [synonym], Thecidium productiforme von Schauroth 1854 [synonym]
†Crurithyris expansa Dunbar and Condra 1932
†Crurithyris extumida Jin and Ye 1979
†Crurithyris inflata Schnur 1853
†Crurithyris levicula Rowley 1900
†Crurithyris longa Liao 1980
†Crurithyris longirostris Cooper and Grant 1976
†Crurithyris longtanica Jin and Hu 1978
†Crurithyris major Cooper and Grant 1976
†Crurithyris muliensis Xu 1978
†Crurithyris opalinus Termier and Termier 1977
†Crurithyris parva Weller 1899
†Crurithyris planoconvexa Shumard 1855
†Crurithyris sulcata Stehli 1954
†Crurithyris telleri Schellwien 1900
†Crurithyris tianshengqiaoensis Feng 1978
†Crurithyris uralica Stepanov and Kalashnikov 1998
†Crurithyris urei Fleming 1828
†Crurithyris wampensis Mills and Langenheim Jr. 1987
G. †Cyrtinoides
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†Cyrtinoides eliei Goldman and Mitchell 1990
†Cyrtinoides septata Johnson et al. 1980
Invalid names: Mucroclipeus Goldman and Mitchell 1990 [synonym]
G. †Dicoelospirifer
G. †Eoplicoplasia
G. †Guangxiispirifer
G. †Orbicoelia Waterhouse and Piyasin 1970
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†Orbicoelia comcincta Xu 1987
†Orbicoelia cordata Shen et al. 1992
†Orbicoelia dolomitensis Chen 2006
†Orbicoelia elongatiformis Chen and Shi 2006
†Orbicoelia extima Grant 1970
†Orbicoelia flabelliformis Liao 1979
†Orbicoelia fraterculus Waterhouse and Piyasin 1970
†Orbicoelia guadalupensis Girty 1908
†Orbicoelia inflata Stehli 1954
†Orbicoelia magna Ustritsky 1960
†Orbicoelia tholiaphor Cooper and Grant 1976
†Orbicoelia tschernyschewi Licharew 1939
†Orbicoelia tumibilis Cooper and Grant 1976
G. †Paracrurithyris Liao 1981
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†Paracrurithyris pigmaea Liao 1980
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Invalid names: Crurithyris pusilla Zhan 1979 [synonym], Crurithyris tazawai He and Shi 2012 [synonym]
G. †Speciothyris
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G. †Swaicoelia
G. †Kurtothyris Shen 2017
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†Kurtothyris anhuiensis Chang 1987
Invalid names: Litothyris Chang 1987 [replaced]
Subfm. †Rhynchospiriferinae Paulus 1957
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G. †Alkhovikovia Baranov 2007
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†Alkhovikovia importuna Baranov 2007
†Alkhovikovia libera Baranov 2007
G. †Amboglossa
G. †Changtangella
G. †Choperella
G. †Crurispina Goldman and Mitchell 1990
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†Crurispina nana Grabau 1899
†Crurispina spinosa Clarke 1894
G. †Emanuella Grabau 1923
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†Emanuella delicata Wang 1985
†Emanuella plicata Grabau 1931
†Emanuella praeumbona Hall 1857
Invalid names: Paraemanuella [synonym]
G. †Ilmenia
G. †Ilmeniopsis
G. †Ilmenispina
G. †Ilmospirifer
G. †Kosirium
G. †Levibiseptum
G. †Moravilla
G. †Rhynchospirifer
G. †Zhonghuacoelia