Depending on what type of internet connection that you have, tells us what needs to be done to reach your internet connection.
Broadband = such as RoadRunner (cable connection - always up)
DSL = such as Verizon - you need a login name and password to connect?
Dialup = you are using a modem through your phone line to connect.
This is where you get more questions...
So, in you case, is it broadband or DSL?
Did you try to set up the internet connection during your installation of SuSE? This is often missed.
You have 2 routers? If so,
Your main router. Do you have WEP or WPA as security on the router?
Do you know the essid of the router?
So, the router does have everything to do with it.
The wireless card needs to communicate with the router, depending on what the router is set at for an essid name and if applicable, a WEP or WPA password to allow a connection.
If you have Windows set up on this system, I would guess that you did an installation of your internet connection of some sort to get it going, unless you have a totally open system to the internet.
Let us know what your situation is and we can walk you through it.