subgroup
Noun

A distinct and often subordinate group within a group (synset 108017525)
hyponym: bench  the reserve players on a team

(mathematics) a subset (that is not empty) of a mathematical group (synset 106026402)
domain category: math, mathematics, maths  a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementhypernym: group, mathematical group  a set that is closed, associative, has an identity element and every element has an inverse
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