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A lot of routers use Pfsense, which is powered by (Free)BSD, chances are your ISP is relying on that project. Not sure if that changes something with regards to licensing though.
However, if you're interested in just getting a better look at the firmware in general, take a look into binwalk (https://github.com/ReFirmLabs/binwalk).
NOTE:
The number of mentions on this list indicates mentions on common posts plus user suggested alternatives.
Hence, a higher number means a more popular project.