Groups of order 63

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This article gives information about, and links to more details on, groups of order 63
See pages on algebraic structures of order 63 | See pages on groups of a particular order

There are, up to isomorphism, four groups of order 63, indicated in the table below:

Group GAP ID (second part) Abelian?
semidirect product of Z7 and Z9 1 No
cyclic group:Z63 2 Yes
direct product of Z3 and the Frobenius group of order 21 3 No
direct product of Z21 and Z3 4 Yes