I believe the short answer is no. However, some enzymes with these names work with ferricytochrome c as cosubstrate, which does contain heme.

There are multiple enzymes referred to as mannitol dehydrogenase.

EC numbers are 1.1.2.2, 1.1.1.67, 1.1.1.138, and 1.1.1.255.

1.1.2.2 works with ferricytochrome c.

There are also multiple enzymes referred to as lactate dehydrogenase.

EC numbers are 1.1.2.3, 1.1.1.27 and 1.3.1.110

1.1.2.3 works with ferricytochrome c.

1.3.1.110 works with ferredoxin, which contains an Fe-S cluster, rather than a porphyrin.

Thanks for the flawless and comprehensive explanations, glad to know it from you. May I know which source from I can get even more information about enzymes and their coenzymes?

I imagine these enzymes just pass their electrons to ferricytochrome c, but do not comprise it. I think their coenzyme is NAD (NADP in mannitol DH case), but cytochrome c is only a separated constituent of ETC that accepts electrons from NAD during its oxidation in ETC. So actually cytochrome stays separately, not incorporated into these 2 enzymes. Am I right?

These enzymes just wotk in a team with cyt C, but do not comprise cyt C. Do you agree with me?

Yes, I believe that is correct. The other enzymes use NAD+/NADH or NADP+/NADPH as the oxidoreductant.

I obtained the information from the web-based database brenda-enzymes.org

Thanks