Classification of the family Orthothecidae
Fm. †Orthothecidae Syssoiev 1957
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G. †Lentitheca Sysoyev 1958
G. †Orthotheca Novak 1886
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†Hyolithus (Orthotheca) holmi Cobbold 1931
†Hyolithus (Orthotheca) striata Cobbold 1931
†Orthotheca buelna Lochman 1952
†Orthotheca corrugata Matthew 1899
†Orthotheca daulis Walcott 1905
†Orthotheca doris Walcott 1905
†Orthotheca interstrialis Novak 1891
†Orthotheca shriveri Malinky 2009
†Orthotheca suavis Barrande 1872
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Invalid names: Orthotheca intermedia Novak 1886 [objective synonym]
†Orthotheca subornatus Reed 1909
†Orthotheca teretiuscula Linnarsson 1877
G. †Semielliptotheca Syssoiev 1958
G. †Trapezotheca Syssoiev 1958
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†Trapezotheca aemulus Holm 1893
†Trapezotheca bicostata Rozanov et al. 1969