Copyleft licenses are not permissive licenses by definition.
A permissive free software licence is a class of free software licence with minimal requirements about how the software can be redistributed. This is in contrast to copyleft licences, which have reciprocity / share-alike requirements. Both sets of free software licences offer the same freedoms in terms of how the software can be used, studied, and privately modified. A major difference is that when the software is being redistributed (either modified or unmodified), permissive licences permit the redistributor to combine the licensed material with other licence terms, potentially adding further restrictions to a derived work, while copyleft licences do not allow further restrictions (among other possible differences).
Well-known examples of permissive free software licences include the MIT License and the BSD licences. A well known copyleft licence is the GNU General Public License.
Copyleft is "a general method for making a program or other work free, and requiring all modified and extended versions of the program to be free as well." By comparison with permissive licences, copyleft licensing places more requirement in terms of distribution and combination with software under other licences.