Kingdom Plantae Haeckel (1866) - plants
   Subkingdom Rhodoplantae G.W.Saunders & Hommers. (2004)
     Phylum Rhodophyta Wettst. (1901) - red algae
       Subphylum Eurhodophytina G.W.Saunders & Hommers. (2004)
         Class Florideophyceae Cronquist (1960)
           Subclass Rhodymeniophycidae G.W.Saunders & Hommers. (2004)
             Order Gigartinales F.Schmitz
               01 ?Family Acrosymphytaceae S.C. Lindstrom
               02 Family Acrotylaceae Schmitz (1892)
               03 Family Areschougiaceae J.Agardh (1876)
               04 Family Blinksiaceae Hollenberg & Abbott (1968)
               05 ?Family Calosiphoniaceae Kylin (1932)
               06 Family Caulacanthaceae Kützing (1843)
               07 Family Corynocystaceae
               08 Family Cruoriaceae (J.Agardh) Kylin (1928)
               09 Family Cubiculosporaceae Kraft (1973)
               10 Family Cystocloniaceae Kützing (1843)
               11 Family Dicranemataceae Kylin (1932)
               12 Family Dumontiaceae Bory (1828)
               13 Family Endocladiaceae Kylin
               14 Family Furcellariaceae Kylin (1932)
               15 Family Gainiaceae
               16 Family Gigartinaceae Kützing (1843)
               17 Family Gloiosiphoniaceae
               18 Family Haemeschariaceae R.T. Wilce & Maggs
               19 Family Kallymeniaceae (J.Agardh) Kylin (1928)
               20 Family Mychodeaceae Kylin (1932)
               21 Family Mychodeophyllaceae Kraft (1978)
               22 Family Nizymeniaceae Womersley (1971)
               23 Family Petrocelidaceae
               24 ?Family Peyssonneliaceae Denizot (1968)
               25 Family Phacelocarpaceae Searles (1968)
               26 Family Phyllophoraceae Nägeli (1847)
               27 Family Polyideaceae Kylin (1956) see Family Polyidaceae Kylin (1956), nom. cons.
               28 Family Rhizophyllidaceae Schmitz (1889)
               29 Family Rissoellaceae Kylin
               30 Family Schmitziellaceae
               31 Family Solieriaceae Agardh (1876)
               32 Family Sphaerococcaceae Schmitz & Hauptfleisch
               33 Family Tichocarpaceae