The Greater Icon of Chaos is the Daemonic equivalent of an army battle standard. It counts as a banner and it also allows Daemons within 12" to re-roll the dice rolled for their Instability tests if the controlling player wishes. If the player decides to re-roll the Instability test, he must go with the second result, even if it's worse than the original one, as is normal with re-rolls.
The model carrying the Greater Icon of Chaos can also be given a magic banner: either the banners in the Hordes of Chaos List, a War Banner from the Common Magic Items list or the Flesh Banner from the Beasts of Chaos book. Note that each banner's limitation still applies (for example, the bearer needs the Mark of Khorne to carry the Banner of Rage).
The Banner of the Gods has a different effect when carried by a Daemonic Herald: the bearer and all friendly units within 6" are under the effect of the rules for hatred against all enemies, even though otherwise Immune to Psychology.