Can the licensee of the patent exclusive exploitation license transfer the exclusive exploitation right?

You can't.

Article 12 of the Patent Law Any unit or individual that exploits another person's patent shall conclude an exploitation license contract with the patentee and pay the patentee a royalty. The licensee has no right to allow any unit or individual other than those stipulated in the contract to exploit the patent.

In other words, once the transferee implements the patent without the permission of the patentee, it belongs to patent infringement, and the transferor shall bear the tort liability.