Kingdom Chlorobiota C.Jeffrey ex Doweld (2001) - plants see Subkingdom Viridiplantae Caval.-Sm. (1981)
   Subkingdom Bryobiotina Campb. (1890)
     Division Bryophyta A.Braun (1864) - mosses and liverworts see Phylum Bryophyta A.Braun (1864)
       Subdivision Bryophytina Engl. (1892) see Subphylum Bryophytina Engl. (1892)
         Class Bryopsida McClatchie (1897) - mosses
           Subclass Dicranidae Doweld (2001)
             Order Dicranales H. Philib. ex M. Fleisch.
               01 Family Fissidentaceae Schimp. [monotypic]
               02 Family Hypodontiaceae Stech & W. Frey [monotypic]
               03 Family Eustichiaceae Broth. (1924), nom. cons. [monotypic]
               04 Family Ditrichaceae Limpr. (1887), nom. cons.
               05 Family Bruchiaceae Schimp.
               06 Family Rhachitheciaceae H. Rob.
               07 Family Erpodiaceae Broth.
               08 Family Schistostegaceae Schimp. [monotypic]
               09 Family Viridivelleraceae I.G. Stone (1976) [monotypic]
               10 Family Rhabdoweisiaceae Limpr.
               11 Family Dicranaceae Schimp.
               12 Family Micromitriaceae Smyth ex Goffinet & Budke (2011) [monotypic]
               13 Family Leucobryaceae Schimp.
               14 Family Calymperaceae Kindb.