Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class †Aculearia Afanasieva, 1999
       Order †Albaillellata Deflandre, 1953
         Family †Corythoecidae Nazarov, 1981
           1 Genus †Arrectoalatus Nazarov & Ormiston, 1985
           2 Genus †Camptoalatus Nazarov & Rudenko, 1981
           3 Genus †Corythoecia Foreman, 1963