PUTAPACYATHIDA, Vologdin, 1961: Intervallum with plate tabulae; redimiculi may be present on intervallum side of either or both walls
ALPHACYATHIDAE R. Bedford & J. Bedford, 1939: Inner wall with simple pores.
PUTAPACYATHIDAE R. Bedford & J. Bedford, 1936: Inner wall with bracts or scales.
HUPECYATHIDAE Debrenne, Rozanov, & Zhuravlev, 1990: Inner wall with bracts or scales.
CHABAKOVICYATHIDAE Rozanov, 2002: Inner wall with simple pores.