Phylum Chordata Bateson, 1885 - chordates
   Class †Conodonta Eichenberg, 1930
     Subclass †Conodonti Branson see Subclass Conodonta Eichenberg, 1930
       Order †Prioniodontida Dzik
         Family †Icriodontidae Müller & Müller
           Genus †Icriodus Branson & Mehl, 1933
             1 †Icriodus erucisimilis D.I. Johnston & B.D.E. Chatterton, 2001
             2 †Icriodus iowaensis Youngquist & Peterson
             3 †Icriodus stenoancylus D.I. Johnston & B.D.E. Chatterton, 2001
             4 †Icriodus alternatus Branson & Mehl
             5 ?†Icriodus chojnicensis Matyja
             6 ?†Icriodus cornutus Sannemann
             7 ?†Icriodus costatus (Thomas)
             8 ?†Icriodus raymondi Sandberg & Ziegler