New posts in Group Isomorphism

Number of elements of order $n$: explain why $\Bbb{Z}_4\times\Bbb{Z}_4$ and $\Bbb{Z}_4\times\Bbb{Z}_2\times\Bbb{Z}_2$ are not isomorphic.

How to show if $G$ is a finite group and $H$, $K$ normal subgroups of $G$, then $G = HK$ if and only if $G / (H \cap K) \cong G / H \times G / K$?

Can an isomorphism of subgroups of a finite group always be extended to an automorphism on the group?

Which one of the following groups is isomorphic to the group $G\ $?

Distinguishing non-isomorphic groups with a group-theoretic property

Are these permutation groups, defined by asymptotic properties, isomorphic?

Grothendieck group "commutes" with direct sum

(Soft Question) What kinds of properties are transferred by isomorphisms?

If you equip two isomorphic groups with homeomorphic topologies, are they isomorphic as topological groups?

Can Cayley's Theorem be applied to groups with infinite order?