COSCINOCYATHIDAE Taylor, 1910: Inner wall with simple pores.
MAWSONICOSCINIDAE Debrenne & Kruse, 1986: Inner wall with noncommunicating canals.
COSCINOCYATHELLIDAE Zhuravleva, 1956: Inner wall with communicating canals.
CALYPTOCOSCINIDAE Debrenne, 1964: Inner wall with independent microporous sheath.
TOMOCYATHIDAE Debrenne, Rozanov, & Zhuravlev, 1989: Inner wall with simple pores.
ALATAUCYATHIDAE Zhuravleva, 1955: Inner wall with simple pores.
CLATHRICOSCINIDAE Rozanov, 1964: Inner wall with simple pores.
LANICYATHIDAE Debrenne, Rozanov, & Zhuravlev, 1989: Inner wall with noncommunicating canals.