Difference between Immaterial and Extraneous

IMMATERIAL vs EXTRANEOUS: NOUN

Not essential
Not pertinent to the matter under consideration
Not belonging to that in which it is contained; introduced from an outside source
Coming from the outside
Not constituting an essential or vital element or part.
Unrelated to the topic or matter at hand. : irrelevant.
Not belonging to, or dependent upon, a thing; without or beyond a thing; not essential or intrinsic; foreign.
Not essential or intrinsic

Not absolutely essential to constitute the cause of action or defense: as, an immaterial averment (a statement of unnecessary particulars).
Not relevant; having no bearing on the question: as, immaterial evidence.
Specifically, in law:
Not mattering one way or the other
Without special significance or importance; of no essential consequence; unimportant.
Not consisting of matter; not material.
Synonyms Unessential, non-essential, insignificant.

In music, not belonging to a standard scale or key; chromatic.
Not belonging or proper to a thing; not intrinsic or essential, though attached; foreign: as, to separate gold from extraneous matter; extraneous ornaments or observances.
Synonyms See exterior.
Introduced from an outside source

Unbodied, Discorporate, Unembodied, Disembodied, Bodiless, Spiritual, Impertinent, Nonphysical, Intangible, Incorporeal, Indifferent, Extraneous, Nonmaterial, Unimportant, Irrelevant

Needless, Unrelated, Vexatious, Useless, Unnecessary, Superfluous, Outside, Adulterating, Adulterant, Foreign, Impertinent, External, Immaterial, Extrinsic, Irrelevant

Unembodied, Unbodied, Discorporate, Disembodied, Bodiless, Spiritual, Impertinent, Nonphysical, Intangible, Incorporeal, Indifferent, Extraneous, Nonmaterial, Unimportant, Irrelevant

Exogenous, Needless, Unrelated, Vexatious, Useless, Unnecessary, Superfluous, Outside, Adulterating, Foreign, Impertinent, External, Immaterial, Extrinsic, Irrelevant

Recall the immaterial contract breach example discussed earlier.
The absence of a timely appeal was immaterial.
The present value of other contracts is immaterial.
Admission of challenged vote immaterial in criminal proceedings.
Financial Partnerships products and other immaterial revenue streams.
Thus insofar as sensation can be said to be in some respects material and in others immaterial, intellection is said to be completely immaterial.
Immaterial breathing it also immaterial, but the Immutable not also the immutable; for it was created, He uncreated.
But one may also think that not only mental states are immaterial, but that the subject that possesses them must also be immaterial.
Jefferson rejected the idea of immaterial beings and considered the idea of an immaterial Creator a heresy introduced into Christianity.
Upon becoming a Subsidiary Loan Party, such Immaterial Subsidiary shall cease to be designated an Immaterial Subsidiary.