The C6 is a generation of the Chevrolet Corvette and the C6.R is
the race car version of the C6.
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C6 is the sixth generation(or body style) and z06 is just a
package available on the c5, c6 and c7 corvette.
Z06 is also wider, body panels are not the same!
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A Chevrolet C6 Z06 is perhaps better known as a Chevrolet
Corvette. It is a powerful sports car and is manufactured by
General Motors. The Z06 is the 2006 model which went on sale near
the end of 2005.