DOKIDOCYATHOIDEA R. Bedford & W. R. Bedford, 1936: Outer wall with simple pores.
KIDRJASOCYATHOIDEA Rozanov, 1964: Outer wall with independent microporous sheath.
KALTATOCYATHOIDEA Rozanov, 1964: Outer wall with simple tumuli.
PAPILLOCYATHOIDEA Rozanov, 1989: Outer wall with multiperforate tumuli.
SOANICYATHOIDEA Rozanov, 1964: Outer wall with bracts or scales.
KYMBECYATHOIDEA Debrenne, Rozanov, & Zhuravlev, 1989: Outer wall with canals.