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
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
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
 
 
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