Class Anthozoa Ehrenberg, 1831
   Subclass Octocorallia Haeckel, 1866 - octocorals see Subclass Alcyonaria
     Order Alcyonacea Lamouroux, 1816 - soft corals
       Family Isididae Lamouroux, 1812
         Subfamily Mopseinae
           1 Genus Acanthoisis Wright & Studer, 1887
           2 Genus Chathamisis Grant, 1976
           3 Genus Echinisis Thomson & Rennet, 1932
           4 Genus Minuisis Grant, 1976
           5 Genus Mopsea Lamouroux, 1816
           6 Genus Notisis Gravier, 1913
           7 Genus Peltastisis Nutting, 1910
           8 Genus Primnoisis Studer & Wright, 1887
           9 Genus Stenisis Bayer & Stefani, 1987