Looks to me from what you just said you've got your router set with a LAN address of 192.168.2.1 and the router's default gateway is 192.168.1.1 (the router's WAN address). You're absolutely right that using ipconfig (/all) would provide you with the pc's default gateway which would be the next hop in your route to the internet ... which in your case is your router. Good job in figuring it out on your own!
You might consider turning DHCP/NAT off on your modem and have it do transparent bridging. Reason being is right now your setup is doing it twice ... at least the NAT portion. Doing transparent bridging would enable the ISP's IP address (public address such as 126.96.36.199) to come all the way through to the wan port of your router ... and possibly improve your speeds. Just a thought ... your modem might not even be able to do transparent bridging ... who's your ISP and what is the model of modem you using?