Proof Verification: Classify all groups of order 6
42469
Find all groups of order $6$.
41726
Musical and combinatorial proof
71262
Subgroups of order $9$ isomorphic to $C_3 \times C_3$ in $S_6$
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 $a = b^7$
933
How many groups exist with order $n$ (two isomorphic groups are treated as the same group)
38153
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
76635
Proof through combinatorial argument
11665
Show that $D_{12}$ is isomorphic to $D_6\times C_2$
26398
Group of even order contains an element of order 2
78048
Group of order 24 with no element of order 6 is isomorphic to $S_4$
66877
Showing groups of order $p^{k}(p+1)$ are not simple, p prime
108049
Determining the number of subgroups of $\Bbb Z_{14} \oplus \Bbb Z_{6}$
85106
Group of order 10 has an element of order 5, without using Cauchy's or Sylow's theorems
76943
Existence of subgroup of order six in $A_4$
60858
An abelian group of order 6 has an element of order 6.
96123
Element of maximal order in alternating group $A_{10}$: how to prove this is it?
88344
Order of a group and subsequent subgroups