You mean something like this?
Polypterids are classified as follows
Taxonomic hierarchy
Kingdom Animalia -- Animal
Phylum Chordata -- chordates
Subphylum Vertebrata -- , vertebrates
Superclass Osteichthyes -- bony fishes
Class Actinopterygii -- ray-finned fishes, spiny rayed fishes
Subclass Chondrostei -- paddlefishes, sturgeons
Order Polypteriformes
Family Polypteridae -- bichirs,lobed-finned pike, reed fishes and dinosuar eels
Genus Polypterus
Species(example) Polypterus senegalus- gray bichir-Cuviers bichir
dates listed are when the species were described
Cladistia Cope, 1871 after Lund, 2000<==o CLADISTIA Cope, 1871 sensu Lund, 2000
|--o †GUILDAYICHTHYIFORMES Lund, 2000
| `--o †Guildayichthyidae Lund, 2000
| |-- †Guildayichthys carnegiei Lund, 2000
| `-- †Discoserra pectinodon Lund, 2000
`--o POLYPTERIFORMES [Brachiopterygii] (niilinhaukikalat)
|?- †Dagetella sudamericana [Dajetella]
`--o Polypteridae (niilinhauet; bichirs)
|-- Calamoichthys calabaricus (Smith, 1865) [Erpetoichthys] (käärmehauki, käärmekala; Reedfish)
`--o Polypterus (niilinhauet; bichirs) [9?]
|-- P. ansorgii Boulenger, 1910 (Guinean bichir)
|--o P. bichir Geoffroy St. Hilaire, 1802 (niilinhauki)
| |-- P. b. bichir Geoffroy St. Hilaire, 1802 (Nile bichir)
| |-- P. b. katangae Poll, 1941
| `-- P. b. lapradei Steindachner, 1869
|-- P. delhezi Boulenger, 1899 (Barred bichir)
|--o P. endlicheri Heckel, 1846-49
| |-- P. endlicheri congicus Boulenger, 1898
| `-- P. endlicheri endlicheri Heckel, 1846-49 (Saddled bichir)
|-- P. ornatipinnis Boulenger, 1902 (Ornate bichir)
|--o P. palmas Ayres, 1850 (Shortfin bichir)
| |-- P. palmas buettikoferi Steindachner, 1891
| |-- P. palmas palmas Ayres, 1850 (Shortfin bichir)
| `-- P. palmas polli Gosse, 1988
|-- P. retropinnis Vaillant, 1899 (West African bichir)
|--o P. senegalus Cuvier, 1829 (Gray bichir)
| |-- P. senegalus meridionalis Poll, 1941
| `-- P. senegalus senegalus Cuvier, 1829 (Gray bichir)
`-- P. weeksii Boulenger, 1898 (Mottled bichir)
Reference(s):
Carroll, R. L., 1988: Vertebrate paleontology and evolution.
--W. H. Freeman and company, New York, 1988. 698.
Carroll, R. L., 1988: Appendix. 594-648.
in Carroll, R. L., 1988: Vertebrate paleontology and evolution.
--W. H. Freeman and company, New York. 1988.
Frickhinger, K. A., 1995: Fossil Atlas - Fishes. 1-1088
--Mergus, Publishers for Natural History and Pet Books, Hans A.Baensch, Malle, Germany
Froese, R. & Pauly, D. (eds), 2001: FishBase.
--iNet:
www.fishbase.org
Long, J. A., 1995: The Rise of Fishes: 500 million years of evolution.
--Johns Hopkins University Press, Baltimore & London, pp. 1-223
Lund, R., 2000: The new actinopterygian order Guildayichthyiformes from the
Lower Carboniferous of Montana (USA).
--Geodiversitas: Vol. 22, #2, pp. 171-206
Nelson, J. S., 1994: Fishes of the world.
--John Wiley & Sons, Inc., New York, 1994. XX-600.
it could use some updating