Can Iodine conduct electricity in molten liquid form?

Iodine is a diatomic molecule because it is in group 7 which are the halogens. The halogens are covalently bonded and therefore they're non-metals, which means they have no overall charge so they are not able to cannot carry electrical charge to conduct electricity. Iodine is a grey solid crystal which gives a purple vapour when heated so this means it cannot dissolve in order to conduct electricity cos Iodine is the least reactive non-metal n group 7. By the way ionic compounds are the only ones which conducts electricty when molten or when dissolved in water.