What's an example of a finite, non-abelian, non-simple group that is *not* semidirectly reducible?
35124
Can every non-simple group $G$ be written as a semidirect product?
60075
Does there exist an $n$ such that all groups of order $n$ are Abelian?
129830
A group with no proper non-trivial subgroups
87983
Examples of Separable Spaces that are not Second-Countable
150207
Non isomorphic subgroups of cyclic groups
42835
Example of a relation that is symmetric and transitive, but not reflexive
90159
If every irreducible representation of a finite group has dimension $1$, why must the group be abelian?
149029
3-manifold examples of homomorphisms between fundamental groups that are not induced by continuous maps
57883
Example of a Subgroup That Is Not Normal
111935
Irreducible but not prime
85379
Semigroup analogue to the classification of finite simple groups?
73702
What are examples of irreducible but not prime elements?
74978
How the center of a non-cyclic free Group is trivial?
111168
Automorphisms of a finite non-abelian group
113413
How do I show that two groups are not isomorphic?
27703
an example of a non-abelian group $G$ containing a proper normal subgroup $N$ such that $G/N$ is abelian.
142887
Exercise 1 pg 33 from "Algebra - T. W. Hungerford" - example for a semigroup-hom but not monoid-hom..