Inner automorphism

Complete groups



Characteristic subgroups

Remark about characteristic groups


Semidirect products: overview

Semidirect product: definition

Semidirect product group law

Direct products (in terms of semidirect products)

Semidirect products: groups of order 6



Making an outer automorphism inner

Criteria for semidirect products to be isomorphic: alpha

Criteria for semidirect products to be isomorphic: theta

Criteria for semidirect products to be isomorphic: cyclic

Summary: direct/semidirect products



Isomorphic extensions



Two criteria for an extension to split

Classification of finite simple groups
