Taxonomic names from F. Debrenne et al. 2015

  • Alataucyathidae, family, Zhuravleva 1955 [Alataucyathidae]
  • Alataucyathoidea, superfamily, Zhuravleva 1955 [Capsulocyathida]
  • Alphacyathoidea, superfamily, Bedford and Bedford 1939 [Putapacyathida]
  • Altaicyathidae, family, Debrenne and Zhuravlev 1992 [Altaicyathidae]
  • Altaicyathina, suborder, Debrenne 1991 [Kazachstanicyathida]
  • Angustocyathus, Skorlotova 2013 [Densocyathidae]
  • Anthomorphidae, family, Okulitch 1935 [Anthomorphidae]
  • Anthomorphina, suborder, Okulitch 1935 [Archaeocyathida]
  • Anthomorphoidea, superfamily, Okulitch 1935 [Archaeocyathida]
  • Archaeocyatha, class (Vologdin 1937) [Archaeocyatha]
  • Archaeopharetridae, family, Bedford and Bedford 1936 [Archaeopharetridae]
  • Auliscocyathidae, family, Debrenne and Zhuravlev 1992 [Auliscocyathidae]
  • Auliscocyathoidea, superfamily, Debrenne and Zhuravlev 1992 [Archaeocyathida]
  • Beltanacyathidae, family, Debrenne 1974 [Beltanacyathidae]
  • Beltanacyathoidea, superfamily, Debrenne 1974 [Archaeocyathida]
  • Bipallicyathidae, family, Debrenne et al. 1989 [Bipallicyathidae]
  • Botomocyathidae, family, Zhuravleva 1955 [Botomocyathidae]
  • Bronchocyathidae, family, Bedford and Bedford 1936 [Bronchocyathidae]
  • Bronchocyathoidea, superfamily, Bedford and Bedford 1936 [Ajacicyathida]
  • Bronchocyathus, Bedford and Bedford 1936 [Bronchocyathidae]
  • Calyptocoscinidae, family, Debrenne 1964 [Calyptocoscinidae]
  • Calyptocoscinoidea, superfamily, Debrenne 1964 [Capsulocyathida]
  • Capsulocyathina, suborder, Zhuravelva 1964 [Capsulocyathida]
  • Carinacyathidae, family, Krasnopeeva 1953 [Carinacyathidae]
  • Chabakovicyathidae, family, Rozanov 2002 [Chabakovicyathidae]
  • Chabakovicyathoidea, superfamily, Rozanov 2002 [Putapacyathida]
  • Chankacyathidae, family, Yakovlev 1959 [Chankacyathidae]
  • Chankacyathoidea, superfamily, Yakovlev 1959 [Archaeocyathida]
  • Claruscoscinidae, family, Debrenne and Zhuravlev 1992 [Claruscoscinidae]
  • Clathricoscinidae, family, Rozanov 1964 [Clathricoscinidae]
  • Clathricoscinoidea, superfamily, Rozanov 1964 [Capsulocyathida]
  • Complicatocyathus, Yaroshevich 1990 [Cryptoporocyathidae]
  • Copleicyathidae, family, Bedford and Bedford 1937 [Copleicyathidae]
  • Cordobicyathidae, family, Perejón 1975 [Cordobicyathidae]
  • Coscinocyathellidae, family, Zhuravleva 1956 [Coscinocyathellidae]
  • Coscinocyathus serratus, Kawase and Okulitch 1957 [Pycnoidocoscinidae]
  • Coscinoptyctidae, family, Debrenne et al. 1989 [Coscinoptyctidae]
  • Coscinoptyctoidea, superfamily, Debrenne et al. 1989 [Ajacicyathida]
  • Crassicoscinidae, family, Debrenne et al. 1988 [Crassicoscinidae]
  • Densocyathidae, family, Vologdin 1937 [Densocyathidae]
  • Dictyocyathidae, family, Taylor 1910 [Dictyocyathidae]
  • Dictyocyathoidea, superfamily, Taylor 1910 [Archaeocyathida]
  • Dictyofavina, suborder, Debrenne 1991 [Archaeocyathida]
  • Dokidocyathellidae, family, Debrenne 1964 [Dokidocyathellidae]
  • Dokidocyathidae, family, Bedford and Bedford 1936 [Dokidocyathidae]
  • Dokidocyathina, suborder, Vologdin 1957 [Ajacicyathida]
  • Dokidocyathoidea, superfamily, Bedford and Bedford 1936 [Ajacicyathida]
  • Emucyathus, Kruse and Moreno-Eiris 2013 [Sajanocyathidae]
  • Eremitacyathidae, family, Debrenne 1992 [Eremitacyathidae]
  • Erismacoscinina, suborder, Debrenne et al. 1989 [Ajacicyathida]
  • Ethmocoscinidae, family, Zhuravleva 1957 [Ethmocoscinidae]
  • Ethmocoscinoidea, superfamily, Zhuravleva 1957 [Ajacicyathida]
  • Fallocyathidae, family, Rozanov 1969 [Fallocyathidae]
  • Flossocyathus, Skorlotova 2013 [Coscinocyathidae]
  • Fragilicyathidae, family, Belyaeva 1975 [Fragilicyathidae]
  • Fragilicyathoidea, superfamily, Belyaeva 1975 [Archaeocyathida]
  • Fransuasaecyathidae, family, Debrenne 1964 [Fransuasaecyathidae]
  • Gagarinicyathidae, family, Debrenne et al. 1989 [Gagarinicyathidae]
  • Gandinocyathus, Debrenne and Debrenne 2007 [Gloriosocyathidae]
  • Gatagacyathidae, family, Debrenne and Zhuravlev 1992 [Gatagacyathidae]
  • Gatagacyathoidea, superfamily, Debrenne and Zhuravlev 1992 [Archaeocyathida]
  • Geocyathidae, family, Debrenne 1964 [Geocyathidae]
  • Gerbicanicyathus, Belyaeva 1969 [Cryptoporocyathidae]
  • Geyericoscinidae, family, Debrenne and Zhuravlev 2000 [Geyericoscinidae]
  • Geyericoscinus, Debrenne and Zhuravlev 2000 [Geyericoscinidae]
  • Gloriosocyathidae, family, Rozanov 1969 [Gloriosocyathidae]
  • Irhoudicoscinus, Debrenne 1977 [Jebileticoscinidae]
  • Jakutocarinidae, family, Debrenne et al. 1989 [Jakutocarinidae]
  • Japhanicyathidae, family, Rozanov 1989 [Japhanicyathidae]
  • Jebileticoscinidae, family, Debrenne et al. 1989 [Jebileticoscinidae]
  • Jugalicyathidae, family, Gravestock 1984 [Jugalicyathidae]
  • Kasyricyathidae, family, Zhuravleva 1961 [Kasyricyathidae]
  • Kazachstanicyathina, suborder, Konushkov 1967 [Kazachstanicyathida]
  • Keriocyathidae, family, Debrenne and Gangloff 1992 [Keriocyathidae]
  • Keriocyathoidea, superfamily, Debrenne and Gangloff 1992 [Archaeocyathida]
  • Khirgisocyathus, Voronin 1988 [Densocyathidae]
  • Konjuschkovicyathidae, family, Debrenne and Zhuravlev 2000 [Konjuschkovicyathidae]
  • Konjuschkovicyathus, Debrenne and Zhuravlev 2000 [Konjuschkovicyathidae]
  • Korovinellidae, family, Khalfina 1960 [Korovinellidae]
  • Kosticyathus, Debrenne and Zhuravlev 2000 [Jakutocarinidae]
  • Kruseicnemidae, family, Debrenne and Zhuravlev 1990 [Kruseicnemidae]
  • Kruseicnemoidea, superfamily, Debrenne and Zhuravlev 1990 [Archaeocyathida]
  • Lanicyathidae, family, Debrenne et al. 1989 [Lanicyathidae]
  • Lenocyathidae, family, Zhuravleva 1956 [Lenocyathidae]
  • Lenocyathoidea, superfamily, Zhuravleva 1956 [Ajacicyathida]
  • Maiandrocyathidae, family, Debrenne 1974 [Maiandrocyathidae]
  • Mawsonicoscinidae, family, Debrenne and Kruse 1986 [Mawsonicoscinidae]
  • Membranacyathidae, family, Debrenne et al. 2002 [Membranacyathidae]
  • Metacyathidae, family, Bedford and Bedford 1934 [Metacyathidae]
  • Metaldetes reticulata (Bedford and Bedford 1934) [Metacyathidae]
  • Milaecyathus, Debrenne and Zhuravlev 2000 [Erbocyathidae]
  • Mirandocyathus, Belyaeva 1974 [Cryptoporocyathidae]
  • Mootwingeecyathidae, family, Kruse 1982 [Mootwingeecyathidae]
  • Mootwingeecyathoidea, superfamily, Kruse 1982 [Ajacicyathida]
  • Naimarkcyathidae, family, Wrona and Zhuravlev 1996 [Naimarkcyathidae]
  • Naimarkcyathoidea, superfamily, Wrona and Zhuravlev 1996 [Archaeocyathida]
  • Neokolbicyathus, Konayaeva 1997 [Sanarkocyathidae]
  • Nochoroicyathus hollardi (Debrenne 1958) [Ajacicyathidae]
  • Nochoroicyathus sunnaginicus (Zhuravleva 1960) [Ajacicyathidae]
  • Olgaecyathidae, family, Borodina 1974 [Olgaecyathidae]
  • Peregrinicyathidae, family, Zhuravleva 1967 [Peregrinicyathidae]
  • Piamaecyathellidae, family, Rozanov 1974 [Piamaecyathellidae]
  • Pluralicyathus, Okulitch 1950 [Erbocyathidae]
  • Polycoscinidae, family, Debrenne 1964 [Polycoscinidae]
  • Polystillicidocyathus, Debrenne 1959 [Salairocyathidae]
  • Porocoscinidae, family, Debrenne 1964 [Porocoscinidae]
  • Porocoscinoidea, superfamily, Debrenne 1964 [Ajacicyathida]
  • Pretiosocyathidae, family, Rozanov 1969 [Pretiosocyathidae]
  • Pretiosocyathoidea, superfamily, Rozanov 1969 [Ajacicyathida]
  • Protocyathus, Ford 1878 [Kijacyathidae]
  • Putapacyathida, order, Vologdin 1961 [Putapacyathida]
  • Putapacyathidae, family, Bedford and Bedford 1936 [Putapacyathidae]
  • Pycnoidocoscinidae, family, Debrenne 1974 [Pycnoidocoscinidae]
  • Qinlingocyathus, Yang and Yuan 2012 [Kijacyathidae]
  • Radiocyatha, class, Debrenne et al. 1970 [Radiocyatha]
  • Robertocyathidae, family, Rozanov 1969 [Robertocyathidae]
  • Rozanovicyathidae, family, Korshunov 1969 [Rozanovicyathidae]
  • Rudanulidae, family, Debrenne et al. 1989 [Rudanulidae]
  • Sagacyathus, Kruse 1982 [Bronchocyathidae]
  • Sajanocyathidae, family, Vologdin 1956 [Sajanocyathidae]
  • Salairocyathidae, family, Zhuravleva 1956 [Salairocyathidae]
  • Salairocyathoidea, superfamily, Zhuravleva 1956 [Ajacicyathida]
  • Sanarkocyathidae, family, Hill 1972 [Sanarkocyathidae]
  • Shiveligocyathidae, family, Fonin 1983 [Shiveligocyathidae]
  • Sigmocoscinidae, family, Bedford and Bedford 1939 [Sigmocoscinidae]
  • Sigmocoscinoidea, superfamily, Bedford and Bedford 1939 [Ajacicyathida]
  • Sigmocyathidae, family, Krasnopeeva 1953 [Sigmocyathidae]
  • Sigmocyathoidea, superfamily, Krasnopeeva 1953 [Ajacicyathida]
  • Sylviacoscinidae, family, Debrenne et al. 1989 [Sylviacoscinidae]
  • Syringocnemidae, family, Taylor 1910 [Syringocnemidae]
  • Syringocnemina, suborder, Okulitch 1935 [Archaeocyathida]
  • Syringocnemoidea, superfamily, Taylor 1910 [Archaeocyathida]
  • Tabellaecyathidae, family, Fonin 1963 [Tabellaecyathidae]
  • Tabellaecyathoidea, superfamily, Fonin 1963 [Archaeocyathida]
  • Tabellaecyathus, Fonin 1963 [Tabellaecyathidae]
  • Tatijanaecyathidae, family, Korshunov 1976 [Tatijanaecyathidae]
  • Tatijanaecyathus, Korshunov 1976 [Tatijanaecyathidae]
  • Tatijanaecyathus laetus, Korshunov 1976 [Tatijanaecyathidae]
  • Taylorfungia, Perejon 1989 [Bronchocyathidae]
  • Tchojacyathidae, family, Debrenne and Zhuravlev 1992 [Tchojacyathidae]
  • Tercyathidae, family, Vologdin 1939 [Tercyathidae]
  • Tercyathoidea, superfamily, Vologdin 1939 [Ajacicyathida]
  • Thylocyathidae, family, Zhuravlev 1988 [Thylocyathidae]
  • Tomocyathidae, family, Debrenne et al. 1989 [Tomocyathidae]
  • Torosocyathidae, family, Debrenne et al. 2002 [Torosocyathidae]
  • Tubericyathidae, family, Debrenne et al. 1989 [Tubericyathidae]
  • Tumulocoscinidae, family, Zhuravleva 1960 [Tumulocoscinidae]
  • Turgorocyathus, Skorlotova 2013 [Ajacicyathidae]
  • Tuvacnemidae, family, Debrenne and Zhuravlev 1990 [Tuvacnemidae]
  • Tylocyathidae, family, Zhuravlev 1988 [Tylocyathidae]
  • Uralocyathellidae, family, Zhuravleva 1964 [Uralocyathellidae]
  • Usloncyathidae, family, Fonin 1966 [Usloncyathidae]
  • Usloncyathoidea, superfamily, Fonin 1966 [Archaeocyathida]
  • Ussuricyathellus, Voronin 1988 [Ethmocyathidae]
  • Veronicacyathidae, family, Debrenne et al. 2002 [Veronicacyathidae]
  • Vologdinocyathidae, family, Yaroshevich 1957 [Vologdinocyathidae]
  • Warriootacyathidae, family, Debrenne and Zhuravlev 1992 [Warriootacyathidae]
  • Warriootacyathoidea, superfamily, Debrenne and Zhuravlev 1992 [Archaeocyathida]
  • Wrighticyathidae, family, Kruse 1978 [Wrighticyathidae]
  • Xestecyathidae, family, Debrenne et al. 1989 [Xestecyathidae]
  • Yukonensis, Ozdikmen 2009 [Fransuasaecyathidae]
  • Yukonensis yukonensis (R.C. Handfield 1967) [Fransuasaecyathidae]
  • Zonacoscinidae, family, Debrenne 1971 [Zonacoscinidae]
  • Zonacyathellus, Zhuravleva 1974 [Ethmocyathidae]