AJACICYATHINA R. Bedford & J. Bedford, 1939: Intervallum with septa; pectinate tabulae or synapticulae may be present.
AJACICYATHIDAE R. Bedford & J. Bedford, 1939: Inner wall with simple pores.
DENSOCYATHIDAE Vologdin, 1937: Inner wall with bracts or scales.
BRONCHOCYATHIDAE R. Bedford & J. Bedford, 1936: Inner wall with annuli.
ETHMOCYATHIDAE Debrenne, 1969: Inner wall with noncommunicating canals.
SAJANOCYATHIDAE Vologdin, 1956: Inner wall with communicating canals.
BIPALLICYATHIDAE Debrenne, Rozanov, & Zhuravlev 1989: Inner wall with attached microporous sheath.
ROBERTOCYATHIDAE Rozanov, 1969: Inner wall with simple pores.
PRETIOSOCYATHIDAE Rozanov, 1969: Inner wall with noncommunicating canals.
ERBOCYATHIDAE Vologdin & Zhuravleva, 1956: Inner wall with simple pores.
PEREGRINICYATHIDAE Zhuravleva, 1967: Inner wall with annuli.
VOLOGDINOCYATHIDAE Yaroshevich, 1957: Inner wall with noncommunicating canals.
TEGEROCYATHIDAE Krasnopeeva, 1989: Inner wall with communicating canals.
TUMULOCYATHIDAE Krasnopeeva, 1953: Inner wall with simple pores.
SANARKOCYATHIDAE Hill, 1972: Inner wall with bracts or scales.
GEOCYATHIDAE Debrenne, 1964: Inner wall with annuli.
KONJUSCHKOVICYATHIDAE Debrenne & Zhuravlev, 2000: Inner wall with noncommunicating canals.
TOROSOCYATHIDAE Debrenne, Zhuravlev, & Kruse, 2002: Inner wall with simple pores.
JAPHANICYATHIDAE Rozanov, 1989: Inner wall with annuli.
LENOCYATHIDAE Zhuravleva, 1956: Inner wall with noncommunicating canals.
TUMULIFUNGIIDAE Rozanov, 1989: Inner wall with simple pores.
ANNULOCYATHIDAE Krasnopeeva, 1953: Inner wall with annuli.
JAKUTOCARINIDAE Debrenne, Rozanov, & Zhuravlev, 1989: Inner wall with noncommunicating canals.
GAGARINICYATHIDAE Debrenne, Rozanov, & Zhuravlev, 1989: Inner wall with communicating canals.
FALLOCYATHIDAE Rozanov, 1969: Inner wall with simple pores.
GLORIOSOCYATHIDAE Rozanov, 1969: Inner wall with bracts or scales.
KIJACYATHIDAE Zhuravleva, 1964: Inner wall with annuli.
CARINACYATHIDAE Krasnopeeva, 1953: Inner wall with noncommunicating canals.
ETHMOPHYLLIDAE Okulitch, 1937: Inner wall with communicating canals.
PIAMAECYATHELLIDAE Rozanov, 1974: Inner wall with simple pores.
BOTOMOCYATHIDAE Zhuravleva, 1955: Inner wall with annuli.
OLGAECYATHIDAE Borodina, 1974: Inner wall with noncommunicating canals.
TERCYATHIDAE Vologdin, 1939: Inner wall with communicating canals.
SIGMOCYATHIDAE Krasnopeeva, 1953: Inner wall with annuli.
WRIGHTICYATHIDAE Kruse, 1978: Inner wall with communicating canals.