Group $G$ isomorphic to direct product $G \times G$
140962
Counterexamples for $G \times H$ isomorphic to $G$ implies $H$ trivial.
78553
A simple finite group $G$ with $n$ p-Sylows is isomorphic to a subgroup of $\mathbb A_n$
23579
If $G$ is isomorphic to $H$, then ${\rm Aut}(G)$ is isomorphic to ${\rm Aut}(H)$
107687
How to prove that $U_{2^n}$ is isomorphic as group to $\mathbb Z_2 \times \mathbb Z_{2^{n-2}}$ for $n \ge 3$?
38687
Isomorphism of a product $C_n \times C_m$ of cyclic groups with the cyclic group $C_{mn}$
99538
Non-trivial groups pairwise non-isomorphic with isomorphic direct products
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 $D_p$
132127
Proving a direct product of groups is a group
102284
$GL(n,\mathbb R)/SL(n,\mathbb R)$ is isomophic to $\mathbb R^\times$
90616
When is mapping $g$ to $g^{-1}$ a group homomorphism?
100439
Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$
157145
Subgroup of $S_8$ isomorphic to $G$
114916
$\mathbb Z_{mn}$ isomorphic to $\mathbb Z_m\times\mathbb Z_n$ whenever $m$ and $n$ are coprime
142352
how to prove $G_1$ and $G_2$ aren't isomorphic?
27507
Subgroups of Symmetric groups isomorphic to dihedral group
144988
Commutator Subgroup of Direct Product equals the Direct Product of the Commutator Subgroups
151699
Group of inner automorphisms of a group $G$