Subclass †Heterostraci Lankester, 1868
   Family †Cyathaspididae Kiaer, 1932, nom. praeval.
     Subfamily †Irregulareaspidinae Denison, 1964
       Genus †Irregulareaspis Zych, 1931
         †Irregulareaspis hoeli Kiaer, 1932, nom. nud.