Classification of Malinky and Skovsted 2004
Ph. †Problematica Andrews 1970
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Fm. †Coleolidae Fisher 1962
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G. †Coleolus Hall 1879
G. †Conotheca Rozanov et al. 1969
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†Conotheca australiensis Bengtson et al. 1990
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Invalid names: Conotheca laurentiensis Landing and Bartowski 1996 [synonym]
Or. †Orthothecida Marek 1966
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G. †Contitheca Syssoiev 1972
Fm. †Gracilithecidae Syssoiev 1972
Or. †Hyolithida Mathew 1962
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G. †Microcornus Mambetov 1972
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†Microcornus eximius Duan 1984
†Microcornus petilus Bengtson et al. 1990
Fm. †Similothecidae Malinky 1988
G. †Similotheca Malinky 1988
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†Similotheca bastionensis Malinky and Skovsted 2004
†Similotheca groenlandica Malinky and Skovsted 2004
†Similotheca similis Walcott 1890
G. †Cupitheca Duan 1984
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†Cupitheca hemicyclata Bengtson et al. 1990
†Cupitheca holocyclata Bengtson et al. 1990
Subg. †Hyolithus (Hyolithus) d'Eichwald 1840
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†Hyolithus (Hyolithus) mutatus Poulsen 1932