Non-isomorphic groups with same number of homomorphisms
47617
Are groups with all the same Hom sets already isomorphic?
9074
Example of non-isomorphic structures which are elementarily equivalent
126098
Isomorphism of factor groups
34606
Which groups have precisely two automorphisms
933
How many groups exist with order $n$ (two isomorphic groups are treated as the same group)
128443
Isomorphism between finite groups
62277
Cayley tables for two non-isomorphic groups of order 4.
78553
A simple finite group $G$ with $n$ p-Sylows is isomorphic to a subgroup of $\mathbb A_n$
139835
Every Finite Group is Isomorphic to a Subgroup of $A_n$
23279
Group Theory Isomorphism
2153
How to get a homomorphism from $\mathbb{Z}\to G$, for $G$ a non-trivial group?
129452
Groups $G,H$ with surjective homomorphisms that are quotient of each other
55393
Existence of a group isomorphism between $(\mathbb K,+)$ and $(\mathbb K^\times,\cdot)$
157841
Existence of a non-abelian group of order $p^n$.
2254
Finite group with isomorphic normal subgroups and non-isomorphic quotients?
108691
Characterize the natural numbers $n$ such that there is a surjective group homomorphism from $S_n$ to $S_{n-1}$.
59811
Finite Abelian groups with the same number of elements for all orders are isomorphic