Smith system

A system of taxonomy of the cryptogams, the Smith system was published in:
 * Smith, G.M. (1938). Cryptogamic Botany, vol. 1. Algae and fungi. McGraw-Hill, New York.
 * Smith, G.M. (1955). Cryptogamic Botany, vol. 2. Bryophytes and pteridophytes. 2nd ed. McGraw-Hill, New York.

Division Chlorophyta

 * Class 1. Chlorophyceae
 * Order 1. Volvocales
 * Family 1. Chlamydomonadaceae
 * Family 2. Volvocaceae
 * Order 2. Tetrasporales
 * Order 3. Ulotrichales
 * Family 1. Ulotrichaceae
 * Family 2. Microsporaceae
 * Family 3. Cylindrocapsaceae
 * Family 4. Chaetophoraceae
 * Family 5. Protococcaceae
 * Family 6. Coleochaetaceae
 * Family 7. Trentepohliaceae
 * Order 4. Ulvales
 * Family 1. Ulvaceae
 * Family 2 Schizomeridaceae
 * Order 5. Schizogoniales
 * Family Schizogoniaceae
 * Order 6. Cladophorales
 * Family 1. Cladophoraceae
 * Family 2. Sphaeropleaceae
 * Order 7. Oedogoniales
 * Family Oedogoniaceae
 * Order 8. Zygnematales
 * Family 1. Zygnemataceae
 * Family 2. Mesotaeniaceae
 * Family 3. Desmidiaceae
 * Order 9. Chlorococcales
 * Family 1. Chlorococcaceae
 * Family 2. Endosphaeraceae
 * Family 3. Characiaceae
 * Family 4. Protosiphonaceae
 * Family 5. Hydrodictyaceae
 * Family 6. Oöcystaceae
 * Family 7. Scenedesmaceae
 * Order 10. Siphonales
 * Family 1. Bryopsidaceae
 * Family 2. Caulerpaceae
 * Family 3. Halicystaceae
 * Family 4. Codiaceae
 * Family 5. Derbesiaceae
 * Family 6. Vaucheriaceae
 * Family 7. Phyllosiphonaceae
 * Order 11. Siphonocladiales
 * Family 1. Valoniaceae
 * Family 2. Dasycladaceae


 * Class 2. Charophyceae
 * Order Charales
 * Family Characeae

Division Euglenophyta

 * Order 1. Euglenales
 * Order 2. Colaciales (Euglenocapsales)

Division Pyrrophyta

 * Class 1. Cryptophyceae
 * Class 2. Desmokontae
 * Class 3. Dinophyceae
 * Order 1. Gymnodiniales
 * Order 2. Peridiniales
 * Order 3. Dinophysidales
 * Order 4. Rhyzodiniales
 * Order 5. Dinocapsales
 * Order 6. Dinotrichales
 * Order 7. Dinococcales

Division Chrysophyta

 * Class 1. Xanthophyceae (Heterokontae)
 * Order 1. Heterochloridales
 * Order 2. Rhizochloridales
 * Order 3. Heterocapsales
 * Order 4. Heterotrichales
 * Order 5. Heterococcales
 * Order 6. Heterosiphonales


 * Class 2. Chrysophyceae
 * Order 1. Chrysomonadales
 * Suborder 1. Cromulinae
 * Suborder 2. Isochrysidineae
 * Suborder 3. Ochromonadineae
 * Order 2. Rhizochrysidales
 * Order 3. Chrysocapsales
 * Order 4. Chrysotrichales
 * Order 5. Chrysosphaerales


 * Class 3. Bacillariophyceae
 * Order 1. Centrales
 * Order 2. Pennales

Division Phaeophyta

 * Class 1. Isogeneratae
 * Order 1. Ectocarpales
 * Order 2. Sphacelariales
 * Order 3. Tilopteridales
 * Order 4. Cutleriales
 * Order 5. Dictyotales


 * Class 2. Heterogeneratae
 * Subclass 1. Haplostichineae
 * Order 1. Chordariales
 * Order 2. Sporochnales
 * Order 3. Desmarestiales
 * Subclass 2. Polystichineae
 * Order 1. Punctariales
 * Order 2. Dictyosiphonales
 * Order 3. Laminariales


 * Class 3. Cyclosporeae
 * Order Fucales

Division Cyanophyta

 * Class Myxophyceae (Cyanophyceae)
 * Order 1. Chroococcales
 * Order 2. Chamaesiphonales
 * Order 3. Hormogonales

Division Rhodophyta

 * Class Rhodophyceae
 * Subclass 1. Bangioideae
 * Order Bangiales
 * Subclass 2. Florideae
 * Order 1. Nemalionales
 * Order 2. Gelidiales
 * Order 3. Cryptonemiales
 * Order 4. Gigartinales
 * Order 5. Rhodymeniales
 * Order 6. Ceramiales

Division Myxothallophyta

 * Class 1. Myxomycetae
 * Subclass 1. Endosporeae
 * Subclass 2. Exosporeae


 * Class 2. Phytomyxinae
 * Class 3. Acrasieae

Division Eumycetae

 * Class 1. Phycomycetae
 * Order 1. Chytridiales
 * Family 1. Rhizidiaceae
 * Family 2. Olpidiaceae
 * Family 3. Synchytriaceae
 * Family 4. Cladochytriaceae
 * Family 5. Woroninaceae
 * Order 2. Blastocladiales
 * Order 3. Monoblepharidales
 * Order 4. Ancylistales
 * Order 5. Saprolegniales
 * Family 1. Saprolegniaceae
 * Family 2. Leptomitaceae
 * Family 3. Pythiaceae
 * Order 6. Peronosporales
 * Order 7. Mucorales
 * Order 8. Entomophthorales


 * Class 2. Ascomycetae
 * Subclass 1. Protoascomycetae
 * Subclass 2. Euascomycetae
 * Order 1. Aspergillales
 * Order 2. Erysiphales
 * Order 3. Hysteriales
 * Order 4. Phacidiales
 * Order 5. Pezizales
 * Order 6. Tuberales
 * Order 7. Helvellales
 * Order 8. Exoascales
 * Order 9. Hypocreales
 * Order 10. Sphaeriales
 * Order 11. Dothidiales
 * Order 12. Laboulbeniales


 * Class 3. Basidiomycetae
 * Subclass 1. Eubasidii
 * Order 1. Agaricales (Hymenomyceatae)
 * Order 2. Lycoperdales (Gasteromycetae)
 * Order 3. Dacryomycetales
 * Order 4. Tremellales
 * Order 5. Auriculariales
 * Subclass 2. Hemibasidii
 * Order 1. Urediniales
 * Order 2. Ustilaginales
 * Family 1. Ustilaginaceae
 * Family 2. Tilletiaceae


 * Class 4. Fungi imperfecti
 * Lichens
 * Subclass 1. Ascholichenes
 * Subclass 2. Basidiolichenes

Division Bryophyta

 * Class 1. Hepaticae (liverworts)
 * Order 1. Sphaerocarpales
 * Family 1. Sphaerocarpaceae
 * Family 2. Riellaceae
 * Order 2. Marchantiales
 * Family 1. Ricciaceae
 * Family 2. Corsiniaceae
 * Family 3. Targioniaceae
 * Family 4. Monocleaceae
 * Family 5. Marchantiaceae
 * Order 3. Jungermanniales
 * Suborder 1. Metzgerineae
 * Suborder 2. Jungermannineae
 * Order 4. Calobryales


 * Class 2. Anthocerotae (hornworts)
 * Order 1. Anthocerotales


 * Class 3. Musci (mosses)
 * Subclass 1. Sphagnobrya
 * Subclass 2. Andreaeobrya
 * Subclass 3. Eubrya

Division Psilophyta

 * Class 1. Psilophytinae (psilophytes)
 * Order 1. Psilophytales
 * Family 1. Rhyniaceae
 * Family 2. Psilophytaceae
 * Family 3. Pseudosporochnaceae
 * Family 4. Zosterophyllaceae
 * Family 5. Asteroxylaceae
 * Order 2. Psilotales

Division Lepidophyta

 * Class 1. Lycopodinae (lycopods)
 * Order 1. Lycopodiales
 * Family 1. Protolepidodendraceae
 * Family 2. Lycopodiaceae
 * Order 2. Selaginellales
 * Family 1. Selaginellaceae
 * Family 2. Miadesmiaceae
 * Order 3. Lepidodendrales
 * Family 1. Lepidodendraceae
 * Family 2. Lepidocarpaceae
 * Family 3. Bothrodendraceae
 * Family 4. Sigillariaceae
 * Order 4. Isoetales
 * Family 1. Pleuromeiaceae
 * Family 2. Isoetaceae

Division Calamophyta

 * Class 1. Equisetinae (horsetails)
 * Order 1. Hyeniales
 * Order 2. Sphenophyllales
 * Order 3. Equisetales
 * Family 1. Calamitaceae
 * Family 2. Equisetaceae

Division Pterophyta

 * Class 1. Filicinae (ferns)
 * Subclass 1. Primofilices (or Inversicatenales, Coenopterideae, Palaeopteridales)
 * Order 1. Protopteridales
 * Family 1. Protopteridaceae
 * Family 2. Cladoxylaceae
 * Order 2. Coenopteridales
 * Family 1. Zygopteridaceae
 * Family 2. Botryopteridaceae
 * Family 3. Anachoropteridaceae
 * Order 3. Archaeopteridales
 * Subclass 2. Eusporangitae
 * Order 1. Ophioglossales
 * Order 2. Marattiales
 * Subclass 3. Leptosporangiatae
 * Order 1. Filicales
 * Family 1. Osmundaceae
 * Family 2. Schizaeaceae
 * Family 3. Gleicheniaceae
 * Family 4. Matoniaceae
 * Family 5. Dipteridaceae
 * Family 6. Hymenophyllaceae
 * Family 7. Cyatheaceae
 * Family 8. Dicksoniaceae
 * Family 9. Polypodiaceae
 * Family 10. Parkeriaceae
 * Order 2. Marsileales
 * Order 3. Salviniales