You may only be able to get rid of them through desincrustation and extraction. Clogged pores look enlarged because they are full of dirt and oils, once purged they are able to contract to normal size.
Try mixing baking soda and water to make a paste, and put on the are you have blackheads. Leave this on for about 10-15 minutes, this will soften up everything thats clogging up your pores. (If you have very sensitive skin you may not be able to leave it on that long because it is very drying)
Once you remove that with warm water you can extract. If you are doing this at home and are not familiar with extracting blemishes please keep in mind to be VERY careful you can really do some damage if you are too rough.
Be sure your hands are properly disinfected. Take your two pointer fingers and place them on opposite sides of the blemish, push down on either side and upward (almost as if you were going to squeeze it together) begin to wiggle your fingers back and forth to slowly bring everything to the surface, switch your fingers to a different angle and repeat until the pore is purged (if it gets too red and nothing comes out move onto the next one and come back to it later, it may not be ready yet so don't force it if nothing comes out)
Hope I explained that without being too confusing. Like I said this is rough on your skin so when you have finished you should follow up with a calming/soothing mask (you can use plain 100% aloe vera gel or something whith chamomile in it, but avoid clays or mud). And don't forget to finish with toner and moisturizer
**EDIT
You can also use an extraction tool instead of your fingers, as this may be easier. It is also easier to damage your skin without realizing it..... so be gentle. If you have a two sided tool the plain loop is for whiteheads and the bent side is for blackheads. When using it for blackheads just press down
gently until the debris begins to come out(make sure the blackhead is in the middle of the loop)