[Class] Polycystinea Ehrenberg, 1838 - polycystines see Superclass Polycystinia Ehrenberg, 1838
   Order Nassellaria Ehrenberg, 1875 see Class Nassellaria Ehrenberg, 1847
     Family Trissocyclidae Haeckel, 1881 see Family Acanthodesmiidae Haeckel, 1862
       Genus Acanthodesmia Müller, 1856
         1 †Acanthodesmia circumflexa (Goll, 1969)
         2 †Acanthodesmia micropora (Popofsky, 1908)
         3 Acanthodesmia viniculata (Müller, 1857)