Is there any non-abelian group of order $n=49$? I assume there should be at least one but I cannot find an example.
Is there a non-abelian group of order 49?
5
$\begingroup$
abstract-algebra
finite-groups
-
1I took the liberty of removing the boldface text... that seems completely unnecessary. – 2012-02-25
1 Answers
5
The only groups of order $49$ are $\mathbb Z_{49}$ and $\mathbb Z_7\times \mathbb Z_7$ since $49$ is a square of a prime number.