construct vs suppose

construct is a noun but suppose is not a noun.

Word	Noun	Adjective	Verb	Adverb
construct	Yes	No	Yes	No
suppose	No	No	Yes	No

As verbs, suppose is a hypernym of construct; that is, suppose is a word with a broader meaning than construct:

Other hypernyms of construct include conjecture, hypothecate, hypothesise, hypothesize, speculate, theorise, theorize.

construct (noun)	suppose (noun)
an abstract or general idea inferred or derived from specific instances

construct (verb)	suppose (verb)
reassemble mentally	expect, believe, or suppose
draw with suitable instruments and under specified conditions	to believe especially on uncertain or tentative grounds
make by combining materials and parts	require as a necessary antecedent or precondition
put together out of artificial or natural components or parts	take for granted or as a given; suppose beforehand
create by organizing and linking ideas, arguments, or concepts	express a supposition
create by linking linguistic units