New posts in Semidirect Product

Why is trivial intersection of groups $N$ and $H$ not required in the definition of outer semi-direct products?

What is the dicyclic group of order $12$? (What is $\mathbb{Z}_3\rtimes \mathbb{Z}_4$)

Is $S_4 \times C_2$ isomorphic to $(C_2 \times C_2 \times C_2) \rtimes S_3$

Is semidirect product unique?

What is the motivation for semidirect products?

Classification of groups of order 30

What is the center of a semidirect product?

$G\rtimes_\phi H \cong G\rtimes_\psi H$ when certain automorphisms exist

What are the subgroups of a semidirect product?