The following link gives information about the botanical group that is leading the way in the reclassification of plants based on DNA sequencing.
http://www.kew.org/news/apg-III-establishing-a-common-taxonomy.htm
The table in the following link shows where the Orchidaceae Family fits into the new classification (Order Asparagales).
http://theseedsite.co.uk/class4.html
There is a lot of on-going work in the re-classification of orchids. The following link gives details of the current classifications.
http://en.wikipedia.org/wiki/Taxonomy_of_the_Orchidaceae
Within this system cymbidiums fall into the following structure:
Order: Asparagales
Family: Orchidaceae
Sub-family: Epidendroideae (80% of orchid species)
Sub-family Higher: Epidendroideae
Tribe: Cymbidieae
Sub-tribe: Cyrtopodiinae
Alliance: Cymbidium
Genera: Cymbidium
