Groups of order 14

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This article gives information about, and links to more details on, groups of order 14
See pages on algebraic structures of order 14| See pages on groups of a particular order

There are, up to isomorphism, two groups of order 14, indicated in the table below:

Group GAP ID (second part) Abelian?
dihedral group:D14 1 No
cyclic group:Z14 2 Yes

That these are the only two possibilities can be shown via the classification of groups of order a product of two distinct primes. Since 14 = 7 \cdot 2 and 2 \mid (7 - 1), the number 14 falls in the two isomorphism classes case in that classification.