Endomorphism structure of alternating group:A4
From Groupprops
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 ![]() ![]() |
endomorphism structure of alternating groups |
projective special linear group of degree two | field:F3, i.e., the group ![]() |
endomorphism structure of projective special linear group of degree two over a finite field |