Does Fentanyl contain codeine

Noop.

Although they are both in the same class, Opiate, they are very different.

Codeine is roughly 1/10th the efficacy (strength) of morphine. Fentanyl is 50--100 times the efficacy (strength) of morphine.

So, Fentanyl is 500--1000 times the efficacy (or strength) as codeine.