Shivaism vs religious order

Shivaism and religious order both are nouns.

Word	Noun	Adjective	Verb	Adverb
Shivaism	Yes	No	No	No
religious order	Yes	No	No	No

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

Other hypernyms of Shivaism include religious sect, sect.

Shivaism (noun)	religious order (noun)
worship of Shiva one of the 3 chief gods of the Hindu pantheon	a subdivision of a larger religious group
a Hindu sect worshiping Shiva