Disloyal vs Disobedient - What's the difference?

As adjectives the difference between disloyal and disobedient

is that disloyal is without loyalty; faithless, traitorous while disobedient is not obedient.

(en adjective)

without loyalty; faithless, traitorous.

* 1623 , , Act i, scene 1,

O disloyal thing, That shouldst repair my youth, thou heap'st A year's age on me.

(en adjective)

Not obedient.

* disobediently