Phylum Ascomycota Caval.-Sm. (1998) - sac fungi
   Subphylum Pezizomycotina O.E. Erikss. & Winka (1997)
     Class Sordariomycetes O.E. Erikss. & Winka (1997)
       Subclass Sordariomycetidae O.E. Erikss. & Winka (1997)
         Order Coniochaetales Huhndorf, A.N. Mill. & F.A. Fernández (2004)
           1 Family Coniochaetaceae Malloch & Cain (1971)
           2 Family Cordanaceae Nann. (1934) [monotypic]
           3 Genus Cannonia Joanne E. Taylor & K.D.Hyde (1999), incertae sedis