subprogram vs package

subprogram and package both are nouns.

Word	Noun	Adjective	Verb	Adverb
subprogram	Yes	No	No	No
package	Yes	No	Yes	No

As nouns, package is a hypernym of subprogram; that is, package is a word with a broader meaning than subprogram:

subprogram: a set sequence of steps, part of larger computer program
package: (computer science) written programs or procedures or rules and associated documentation pertaining to the operation of a computer system and that are stored in read/write memory

Other hypernyms of subprogram include computer software, software, software package, software program, software system.

subprogram (noun)	package (noun)
a set sequence of steps, part of larger computer program	a wrapped container
	(computer science) written programs or procedures or rules and associated documentation pertaining to the operation of a computer system and that are stored in read/write memory
	a collection of things wrapped or boxed together

subprogram (verb)	package (verb)
	put into a box