Rendering to Bergey's Manual of Systematic Bacteriology, 2nd edition (Grimont and Grimont, 2009) is categorized rendering to the following:

Domain: Eubacteria

Phylum: Proteobacteria

Class: Gamma Proteobacteria

Order: Enterobacteriales

Family: Enterobacteriaceae

Genus: Klebsiella

The genus Klebsiella has a chequered history in respects to species nomenclature and typesetting with many taxonomic problem remaining unstable. With the modern additions of Klebsiella quasipneumoniae and Klebsiella michiganensis to the genus, the number of dependably published species is now at 15 species: (K. pneumoniae sp. pneumoniae, Klebsiella granulomatis, Klebsiella michiganensis, K. pneumonia ssp. ozaenae, K. pneumonias sp. rhinoscleromatis, K. terrigena, K. quasipneumoniae ssp. quasipneumoniae, K. variicola K. quasipneumoniae ssp. similipneumoniae, Klebsiella mobilis, K.ornithinolytica, K. oxytoca, K. planticola. K. singaporensis, and K. trevisanii).

But the reality is that two previous species K. rhinoscleromatis and K. ozaenae have been reclassified as subspecies of K. pneumoniae, three species have been transport to the genus Raoutella (K. planticola, K. terrigena and K. ornithinolytica,). primarily, the medical importance of the genus Klebsiella was partition into three species related to the diseases; K. rhinoscleromatis, K. pneumoniae and K. ozaenae (Janda, 2015).

References
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1- Grimont, P. and Grimont, F. (2009). Genus Klebsiella. In:Bergey’s Manual of Systematic Bacteriology. (Garrity, G.; Brenner, D.; Krieg, N. and Staley, J). 2nd .ed. The Proteobacteria Part B: The Gammaproteobacteria. p:685-94.

2- Janda, J. M. (2015). The Genus Klebsiella: An Ever-Expanding Panorama of Infections, Disease-Associated Syndromes, and Problems for Clinical Microbiologists. Clin. Microbiol. Case Rep. 1(4): 1-7.