commando vs military group

commando and military group both are nouns.

Word	Noun	Adjective	Verb	Adverb
commando	Yes	No	No	No
military group	Yes	No	No	No

As nouns, military group is a hypernym of commando; that is, military group is a word with a broader meaning than commando:

commando: an amphibious military unit trained for raids into enemy territory
military group: a unit that is part of some military service

Other hypernyms of commando include force, military force, military unit.

commando (noun)	military group (noun)
an amphibious military unit trained for raids into enemy territory	a unit that is part of some military service
a member of a military unit trained as shock troops for hit-and-run raids