My AMD Radeon HD 5670 Graphics card is not good?

I have a new pc with a AMD Radeon HD 5670 and a AMD Phenom II. Well also the Internet is bad specificly in lol but that is due to my wifi being far. The problem is I tought AMD Radeon HD 5670 is good for lol , but even on lowest settings it lags! Should I get a new graphics card? I have Catalyst controll center. Please help guys.

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