Kokka Shinto vs religious order

Kokka Shinto and religious order both are nouns.

Word	Noun	Adjective	Verb	Adverb
Kokka Shinto	Yes	No	No	No
religious order	Yes	No	No	No

As nouns, religious order is a hypernym of Kokka Shinto; that is, religious order is a word with a broader meaning than Kokka Shinto:

Kokka Shinto: the branch of Shinto recognized as the official state religion of Japan
religious order: a subdivision of a larger religious group

Other hypernyms of Kokka Shinto include religious sect, sect.

Kokka Shinto (noun)	religious order (noun)
the branch of Shinto recognized as the official state religion of Japan	a subdivision of a larger religious group