Subclass Radiolaria Müller, 1858 see Phylum Actinopoda Calkins, 1902
   Order Polycystina Ehrenberg, 1838 see Class Polycystina Ehrenberg, 1838
     Suborder Nassellaria Ehrenberg, 1875 see Class Nassellaria Ehrenberg, 1847
       Family Pterocoryidae Haeckel, 1881
         1 Genus Anthocyrtidium Haeckel, 1881
         2 Genus Androcyclas Jørgensen, 1905
         3 Genus Lamprocyclas Haeckel, 1881
         4 Genus Lamprocyrtis Kling, 1973
         5 Genus Pterocorys Haeckel, 1881
         6 Genus Stichopilium Haeckel, 1881
         7 Genus Theocorythium Haeckel, 1887