Dawn of War is pretty intense, to say the least, especially when many armies are battling at the same time.
Just like mostly every other RTS, you build up an army and gather resources, but in Dawn of War, expansion is the key, because if you don't expand your army to other parts of the map, then the other army will and you will be cornered. And yes of course there is online, which is actually pretty fun to play when you have a couple of friends playing. :)
If you plan on getting DoW, I recommend getting the Platinum edition, which includes the original game and two of it's best expansions for the price of about $30. The third expansion, Soulstorm, is about $30 by itself and it isn't that good, the weakest of the 3 expansions, in my opinion. So try to get that one later on when it's price has dropped.
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