Can I run Dawn of War on a pavilion g6 laptop?

Asked: Can I run Dawn of War on a pavilion g6 laptop?

I have a HP Pavilion g6 laptop that I bought new about a year ago. I wanted to buy Dawn of War because I'm interested in Warhammer 40k, but I hardly have any knowledge of computer games and graphics cards and the like. Would I be able to run this game smoothly without lagging and such? Note that I am talking about the original Dawn of War, NOT Dawn of War II.

According to the dxdiag thing my computer has a Intel (r) HD Graphics card, the processor is a Intel (r) Premium CPU, memory is 4096mg RAM, direct x version is Directx 11. I don't really know much about what this stuff means unfortunately.

Dawn of War system requirements are as follows (along with the expansions):

Warhammer 40k: Dawn of War

Windows 98/2000/XP/ME with Direct X 9.0b (included)
1.4 GHz Intel Pentium III or AMD Athlon XP processor
256 MB RAM
DirectX 9.0b compatible AGP video card with Hardware Transform and
Lighting and 32MB of Video RAM
DirectX 9.0b compatible 16-bit sound card
4x CD-ROM drive
Keyboard and mouse

Dawn of War: Winter Assault

1.8 GHz Pentium III or equivalent AMD Athlon XP processor
256 MB RAM
1.8 GB free hard drive space
4x CD-ROM
32 MB DirectX(R) 9.0b compatible AGP video card with Hardware Transform and Lighting
DirectX 9.0b compatible 16-bit sound card

Dawn of War: Dark Crusade

2.0 GHz Pentium IV or equivalent AMD Athlon XP processor
512 MB RAM
3.5 GB free hard drive space
4x DVD-ROM
32 MB DirectX(R) 9.0b compatible AGP video card with Hardware Transform and Lighting
DirectX 9.0b compatible 16-bit sound card

Dawn of War: Soulstorm

Same as Dawn of War: Dark Crusade

Recommended System requirements:
2.4 Ghz Pentium IV or equivalent AMD Athlon XP processor
1 GIG RAM
64 MB DirectX(R) 9.0b Graphics Card.

Would my computer be able to play this game and/or it's expansions smoothly? I don't have much on this computer filewise, besides some music and such, so I'm not worried about my memory. I know the original of this game came out awhile ago, maybe 2006 or so, and this computer is fairly new, but I don't know if this computer is very good for games. If anyone has any experience or knowledge about the subject that could tell me that would be wonderful!