Not a state: lacking the institutional power or authority of an organized government(adjective)
A sociopolitical entity other than a state.(noun)
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Use "nonstate" in a sentence
"But Congo is important; it heads a miserable category described as "nonstate conflict", a mêlée of warlords, ethnic rivals, mafias and militias, all fighting out in a failed state."
"World-Honored One, the nonstate is the state of Buddhahood."
"If Pakistan manages to reassert control over these groups, India will have a relatively easier time managing its so-called nonstate actor threat with Islamabad."