Groups of order 21

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This article gives information about, and links to more details on, groups of order 21
See pages on algebraic structures of order 21 | See pages on groups of a particular order

There are, up to isomorphism, two groups of order 21, indicated in the table below:

Group GAP ID (second part) Abelian?
Frobenius group: Z7⋊Z3 1 No
cyclic group:Z21 2 Yes

Z7⋊Z3 is the smallest non-abelian group of odd order.