What painkillers can I take with diclofenac sodium after having a tooth extracted and a bit of my jaw fixed?

Narcotic/combination. Diclofenac is a non steroidal which relieves pain by reducing swelling. It filters through the kidney. Most agree that a narcotic such as hydrocodone/acetometaphen combination in conjunction with an NSAID such as diclofenac is standard to reduce post operative pain.
Acetominaphen. Tylenol (acetaminophen) as long is you can take it is a good supplementary medication. If that doesn't work consult your dentist.