[Class] Dinophyceae Pascher (1914)
   [Order] Peridiniales Haeckel (1894)
     [Family] Thoracosphaeraceae J. Schiller (1930)
       Genus Stoeckeria Jeong, Kim, Park, Kim, Kim, Lee, Lee, Ha & Yih, 2005 see Genus Stoeckeria H.J. Jeong, Jae S. Kim, J.Y. Park, Jong H. Kim, Sang Kim, I. Lee, Seung H. Lee, J.H. Ha & W.H. Yih (2005)