What are the hierarchy of living things in the class //

Your question is hard to understand. It's difficult to know what you are exactly looking for...

You might want to read more about:

Biological classification - Wikipedia, the free encyclopedia (http://en.wikipedia.org/wiki/Biological_classification)

I think OP means:

Domain
Kingdom
Phylum
Class
Order
Family
Genus
Species

Of course, there are all sorts of intermediate groupings, like superclass, subclass, etc.

See "taxon" at Wikipedia.