Can two nonisomorphic groups have the same subgroup lattice?
45770
Does the order, lattice of subgroups, and lattice of factor groups, uniquely determine a group up to isomorphism?
32428
Group homomorphisms and which of the following statements are true (NBHM-$2014$)
150760
Are there any distinct finite simple groups with the same order?
111049
Groups with given automorphism groups
124709
Suppose G be a non-abelian group and H,K be two abelian subgroups of G. Then must HK be an abelian subgroup of G?
50762
If $S_n$ has cyclic subgroups of these orders or not?
99538
Non-trivial groups pairwise non-isomorphic with isomorphic direct products
149030
Nonisomorphic groups of order 12.
23279
Group Theory Isomorphism
114811
Characteristic subgroups and automorphisms
142413
Normal Subgroups of $SU(n)$
65968
Prove that any two cyclic groups of the same order are isomorphic?
2254
Finite group with isomorphic normal subgroups and non-isomorphic quotients?
152904
Groups with Same Number Of Elements and Subgroups
144788
Cosets of a subgroup do not overlap
135241
Show that $\mathbb{Z}/n^2\mathbb{Z}$ is not isomorphic to other group
128300
Prove that a group with exactly two proper nontrivial subgroups is isomorphic to $\mathbb{Z}_{pq}$ or $\mathbb{Z}_{p^3}$.