In my ’05, & I’m pretty sure in your ’06, there are 2 different fuses. The cig lighter (left of the 2) gets power only when the key is on or in the acc. position from fuse 18 in the block behind the glove box, as shown in post 2. The power outlet (right one) is powered all the time from fuse 17 in the PDC in front of the battery.
You can get an owner’s manual PDF free from jeep.com
for your ’06.