Graphite is a crystalline allotropic form of carbon.
It is a soft black lustrous form of carbon that conducts electricity.
Graphite is a conductor but not diamond because:
In graphite, each carbon atom is linked to three carbon atoms via a covalent bond. The fourth electron is delocalized so it is mobile and can conduct electricity.
But diamonds have no free electrons because each carbon is four other carbon atoms covalently bonded in a tetrahedral manner.
So, it has been said that diamonds are bad conductors of electricity.
Hence, graphite is a conductor but diamond is a bad conductor.