Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Spumellaria Ehrenberg, 1875
       Order †Spongiata Afanasieva & Amon, 2003
         Family †Conocaryommidae Lipman, 1969
           1 Genus †Conocaryomma Lipman, 1969
           2 Genus †Hegleria Nazarov & Ormiston, 1985
           3 Genus †Praeconocaryomma Pessagno, 1976