Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Stauraxonaria Afanasieva & Amon, 2005
       Order †Pyramidata Afanasieva & Amon, 2005
         Family †Tormentidaeᵀ Nazarov & Ormiston, 1983
           Subfamily †Tormentinae Nazarov & Ormiston, 1983
             1 Genus †Grandetortura Sashida & Tonishi, 1991
             2 Genus †Pseudolithelius Kozur & Mostler, 1989
             3 Genus †Staurentactinia Schwartzapfel & Holdsworth, 1996
             4 Genus †Tetraspongoactinia Won, 1998
             5 Genus †Tetratormentum Nazarov & Ormiston, 1985
             6 Genus †Tormentum Nazarov & Ormiston, 1983