Smith system

{{further|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

{{further|Euglenophyta }}

::*Order 1. Euglenales

::*Order 2. Colaciales (Euglenocapsales)

{{further|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

{{further|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

{{further|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

{{further|Cyanophyta }}

• Class Myxophyceae (Cyanophyceae)

::*Order 1. Chroococcales

::*Order 2. Chamaesiphonales

::*Order 3. Hormogonales

{{further|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

{{further if exists|Myxothallophyta }}

• Class 1. Myxomycetae

:*Subclass 1. Endosporeae

:*Subclass 2. Exosporeae

• Class 2. Phytomyxinae
• Class 3. Acrasieae

{{further if exists|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

{{further|Bryophyte}}

• 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

{{further|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

• 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

{{further|Calamophyta }}

• Class 1. Equisetinae (horsetails)

::*Order 1. Hyeniales

::*Order 2. Sphenophyllales

::*Order 3. Equisetales

::::*Family 1. Calamitaceae

::::*Family 2. Equisetaceae

{{further|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

Category:Systems of plant taxonomy

Category:Systems of algal taxonomy

Category:Systems of fungus taxonomy