swastika vs emblem

swastika and emblem both are nouns.

Word	Noun	Adjective	Verb	Adverb
swastika	Yes	No	No	No
emblem	Yes	No	No	No

As nouns, emblem is a hypernym of swastika; that is, emblem is a word with a broader meaning than swastika:

swastika: the official emblem of the Nazi Party and the Third Reich; a cross with the arms bent at right angles in a clockwise direction
emblem: a visible symbol representing an abstract idea

Other hypernyms of swastika include tetraskele, tetraskelion, allegory.

swastika (noun)	emblem (noun)
the official emblem of the Nazi Party and the Third Reich; a cross with the arms bent at right angles in a clockwise direction	special design or visual object representing a quality, type, group, etc.
	a visible symbol representing an abstract idea