Superclass Dictyochia Haeckel (1894)
   Class Actinochrysophyceae Caval.-Sm. (1995) see [unranked] Stramenopila
     Subclass Abaxodinae K.A. Mikrjukov, 2001 see [unranked] Stramenopila
       Superorder Actinodinea K.A. Mikrjukov, 2001 see [unranked] Stramenopila
         Order Actinophryida Hartmann, 1913