Kingdom Chlorobiota C.Jeffrey ex Doweld (2001) - plants see Subkingdom Viridiplantae Caval.-Sm. (1981)
   Subkingdom Bryobiotina Campb. (1890)
     Division Marchantiophyta Stotler & Crand.-Stotl. (2000) see Phylum Marchantiophyta Stotler & Crand.-Stotl. (2000)
       Class Marchantiopsida Cronquist, Takht. & W.Zimm. (1966) - thalloid liverworts
         Subclass Marchantiidae Engl. (1893)
           Order Marchantiales Limpr.
             01 Family Marchantiaceae Lindl.
             02 Family Aytoniaceae Cavers
             03 Family Cleveaceae Cavers (1911)
             04 Family Monosoleniaceae Inoue (1966) [monotypic]
             05 Family Conocephalaceae Müll. Frib. ex Grolle [monotypic]
             06 Family Cyathodiaceae Stotler & Crand.-Stotl. [monotypic]
             07 Family Exormothecaceae Müll. Frib. ex Grolle
             08 Family Corsiniaceae Engl.
             09 Family Monocarpaceae D.J. Carr ex Schelpe [monotypic]
             10 Family Oxymitraceae Müll. Frib. ex Grolle [monotypic]
             11 Family Ricciaceae Rchb. (1828)
             12 Family Wiesnerellaceae Inoue (1976) [monotypic]
             13 Family Targioniaceae Dumort. [monotypic]
             14 Family Monocleaceae A.B.Frank [monotypic]
             15 Family Dumortieraceae D.G. Long [monotypic]