Endomorphism structure of alternating group:A4

This article gives specific information, namely, endomorphism structure, about a particular group, namely: alternating group:A4.
View endomorphism structure of particular groups | View other specific information about alternating group:A4

Summary of information

Construct	Value	Order	Second part of GAP ID (if group)
endomorphism monoid	?	33	--
automorphism group	symmetric group:S4	24	12
inner automorphism group	alternating group:A4	12	3
outer automorphism group	cyclic group:Z2	2	1
extended automorphism group	direct product of S4 and Z2	48	48

Family contexts

Family name	Parameter value	General discussion of endomorphism structure of family
alternating group	degree $n=4$, i.e., the group $A_{4}$	endomorphism structure of alternating groups
projective special linear group of degree two	field:F3, i.e., the group $PSL(2,3)$	endomorphism structure of projective special linear group of degree two over a finite field