DOKIDOCYATHIDAE R. Bedford & W. R. Bedford, 1936: Inner wall with simple pores.
DOKIDOCYATHELLIDAE Debrenne, 1964: Inner wall with bracts or scales.
CORDOBICYATHIDAE Perejón, 1975: Inner wall with annuli.
KIDRJASOCYATHIDAE Rozanov, 1964: Inner wall with simple pores.
KALTATOCYATHIDAE Rozanov, 1964: Inner wall with simple pores.
PAPILLOCYATHIDAE Rozanov, 1989: Inner wall with simple pores.
SOANICYATHOIDEA Rozanov, 1964: Outer wall with bracts or scales.
ZHURAVLEVAECYATHIDAE Rozanov, 1989: Inner wall with annuli.
KYMBECYATHIDAE Debrenne, Rozanov, & Zhuravlev, 1989: Inner wall with simple pores.