SC-DC6S is rated 12000mAh or 12Ah with a lithium battery which means about 3V.
12Ah means it can give 1A for 12 hours, or 0.5A for 24 hours, something like that rated with 3V output.
So 12Ah @3V means 36Wh (watts for one hour, or less watts for more hours).
Your router usually will run with roughly 15W (1.75A x 19V=33W is maximum for short time while powering up), this SC-DC6S will last about 2 hours while SC-DC3S only 1 hour.
You will find this line: Output interface:2*USB/5V-2A,5V-2A,9V 2A,12V 2A,19V 2A,24V 1A; B25
So it should be fine for your router only for less than 2 hours.