Classification of the family Tryplasmatidae
Fm. †Tryplasmatidae Etheridge 1907
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G. †Loboplasma Spasskiy et al. 1975
G. †Porpites Schlotheim 1820
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†Porpites circularis Alloiteau 1957
†Porpites rotuloides Hall 1852
G. †Storthygophyllum Weissermel 1894
G. †Thecaspinellum Nikolayeva 1949
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†Thecaspinellum daljanicum Lavrusevich 1971
†Thecaspinellum longiseptatum Strelnikov 1971
Subfm. †Tryplasmatinae Etheridge 1907
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G. †Aphyllum Soshkina 1937
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†Aphyllum relictum Lavrusevich 1971
†Aphyllum salmoni Hill 1942
Invalid names: Holacanthia Sytova 1966 [synonym], Rhabdacanthia Ivanovskiy 1969 [synonym]
G. †Cantrillia Smith 1930
G. †Hillophyllum Webby 1971
G. †Maikottia Lavrusevich 1967
G. †Neotryplasma Kaljo 1957
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†Neotryplasma codonophylloides Kaljo 1957
†Neotryplasma longiseptata Kaljo 1957
G. †Polyorophe Lindström 1896
G. †Rhabdelasma McLean and Webby 1976
G. †Stortophyllum Wedekind 1927
G. †Tryplasma Lonsdale 1845
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†Tryplasma aequabile Lonsdale 1845
†Tryplasma antiqua Reiman 1958
†Tryplasma basaltiforme Hill 1953
†Tryplasma brevikense Hill 1953
†Tryplasma duncanae Merriam 1973
†Tryplasma fascicularium Oliver 1960
†Tryplasma hemicymatelasma Reiman 1954
†Tryplasma magianense Lavrusevich 1971
†Tryplasma newfarmeri Merriam 1973
†Tryplasma pakshifiense Lavrusevich 1971
†Tryplasma praecox Kaljo 1957
†Tryplasma spinulatum Neuman 1968
Invalid names: Pholidophyllum Lindstroem 1871 [synonym]
G. †Wenlockia Kato 1966