Chelicerata Heymons, 1901
   †Eurypterida Burmeister, 1843 - eurypterids
     †Stylonurina Diener, 1924
       Superfamily †Rhenopteroidea Størmer, 1951 [monotypic]
         Family †Rhenopteridae Størmer, 1951
           1 Genus †Brachyopterella Kjellesvig-Waering, 1966
           2 Genus †Brachyopterus Størmer, 1951
           3 Genus †Kiaeropterus Waterson, 1979
           4 Genus †Leiopterella Lamsdell, Braddy, Loeffler & Dineley, 2010
           5 Genus †Rhenopterus Størmer, 1936