How many exactly mixed dog types are there?

As of 2013 the FCI recognises 339 types of dogs organised into ten groups:

1. Sheepdogs and Cattle Dogs.

2. Pinscher and Schnauzer - Molossoid Breeds - Swiss Mountain and Cattle Dogs and Other Breeds.

3. Terrier

4. Dachshund

5. Spitz and Primitive Type

6. Scenthounds and Related Breed

7. Pointers and Setters

8. Retrievers - Flushing Dogs - Water Dogs

9. Companion and Toy Dog

10. Sighthounds