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 , i.e., the group | 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 |