There are only two groups of order six, up to isomorphism: $\mathbb Z_6$ and $S_3$.
102429
There are 2 groups of order 6 (up to isomorphism)
121142
Take $G$ to be a group of order $600$. Prove that for any element a in $G$ there exist a $b$ in $G$ such that $a = b^7$
38153
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
15210
Group of order 6 proof
108044
Isomorphic extensions of $\mathbb Z_3$ by $\mathbb Z_3 \times \mathbb Z_3$ which are not equivalent
75012
Additive group of rationals has no minimal generating set
88304
Center of $D_6$ is $\mathbb{Z}_2$
141458
How many subgroups or order 8 an abelian Group of order 72 can have
129239
Additive quotient group $\mathbb{Q}/\mathbb{Z}$ is isomorphic to the multiplicative group of roots of unity
108830
Let $G$ be a group of order $2p$ , where $p$ is a prime greater than $2$. Then, G is isomorphic to $\mathbb{Z}_{2p}$ or $D_p$
3161
Galois group of $x^6 + 3$ isomorphic to a copy of $S_3$ inside $S_6$
3317
Subgroup generated by $2$ and $7$ in $(\mathbb Z,+)$
22977
How many $6$-integer subsets of $\{1, 2, 3, \ldots, 20\}$ have no consecutive integers?
18881
Number of elements of order $7$ in a group
14611
$A_4$ has no subgroup of order $6$?
76732
Number of non-isomorphic groups of order 21
14003
$(\mathbb{Z}/2^n \mathbb{Z})^*$ is not cyclic Group for $n\geq 3$