There are 3 types of magnets: permanent magnets, temporary magnets, and electro-magnets.
Permanent magnets emit a magnetic field without the need for any external source of magnetism or electrical power. Temporary magnets behave as magnets while attached to orclose to something that emits a magnetic field, but lose this characteristic when the source of the magnetic field is removed. Electro-magnets require electricity in order to behave as a magnet.
There are various different types of permanent magnet materials, each with their own unique characteristics. Each different material has a family of grades that have properties slightly different from each other, though based on the same composition.