Hate

Good vs. Evil Hate
Angels  Archangels	Devils  Arch Devils
Genies  Master Genies	Efreeti  Efreet Sultans
Titans  Giants	Black Dragons
Effect: +50% Damage

Hate is a special ability of creatures, which causes attacking unit to "burn with anger" and do 50% more damage to a creature type it hates. Typically hatred is a symmetric relation that involve both basic and upgraded versions of creatures. For example, Angels hate both Devils and Arch Devils and vice versa. However, Giants and Red dragons do not hate each other or nor do they hate their upgraded versions Titans and Black Dragons. Yet, Titans hate Black Dragons and Black Dragons hate - and this is the exception - both Giants and Titans. Supposedly this is a bug.

It's worth noting that Hate only increases the base damage dealt (see: Damage calculation), meaning bonuses from Offense, Luck, etc. aren't increased further.