Just tried to play on my laptop.
Dell inspiron 6000, pentium M 1.8GH, 2gig ram, radion x300 (64 meg dedicated, I think it goes up to 128 shared but forget).
Put everything on the lowest possible settings. While it does run, it does not make for a playable game. There is a huge amount of jerkiness and "lag". I double checked my drivers but I am forced to use the ones the dell provides and the latest ones are from 2005 so that might have something to do with it. dxdiag lists my drivers as version 6.14
I am used to playing Gal Civ though so I was not sure what to expect from this computer, demigod clearly has far more detailed graphics going on in real time. I saw it at PAX so I know what it is supposed to look like. I have no idea if such low specs will ever be supported but for now I can not help much with testing.