A4 ⋊ C4
Statistics
Order of group
48
GAP identifier
48,30
Presentation
Orders of elements
Centre
C2
Derived subgroup
A4
Automorphism group
S4×C2
Inner automorphism group
S4
"Out"
(quotient of above)
C2
Schur multiplier
C2
Sylow-2-subgroup
(C2×C2) ⋊ C4
Permutation Diagrams
Not transitive.
Index to regular maps
Orientable
sphere
|
torus
|
2
|
3
|
4
|
5
|
6
Non-orientable
projective plane
|
4
|
5
|
6
|
7