I need to replace my kitchen faucet but have never seen one like this before. My sink is a 4 hole, but this seems to be all one assembly. I does have a sprayer on it also, which is the hose with the nut.
Remove the hose attachment at point A as shown below.
Then remove the hex nuts from the threaded pipe at the point B.
These two steps will free up the U shaped washer and plastic spacer under it and allow the central faucet assembly to become loose.
You may also have to remove the fastener at the location shown at the lower portion of your photo. There may actually be two of these to remove, one in each of the faucet holes for faucet types that mount into separate holes. These two additional fasteners typically hold a decorative plate above in place the covers these holes in cases where a single handle style faucet is used.