Class Actinopoda Calkins, 1902
see Parvkingdom Actinopoda Calkins, 1902
Subclass Radiolaria Müller, 1858
see Phylum Actinopoda Calkins, 1902
Superorder Polycystina Ehrenberg, 1838
see Class Polycystinea Ehrenberg, 1838
Order Nassellaria Ehrenberg, 1875
see Class Nassellaria Ehrenberg, 1847
Superfamily Acanthodesmiacea Haeckel, 1862
see Order Spyridinata Ehrenberg, 1847
Family Triospyrididae Haeckel, 1881
Genus Gorgospyris Haeckel, 1881