C2 ↑ (A4,C2)
Statistics
Order of group
48
GAP identifier
48,33
Presentation
Orders of elements
Centre
C4
Derived subgroup
Q8
Automorphism group
S4×C2
Inner automorphism group
A4
"Out"
(quotient of above)
C2×C2
Schur multiplier
1
Sylow-2-subgroup
Pauli(16)
Regular maps
with C2 ↑ (A4,C2) symmetry
C2 ↑ (A4,C2) is the rotational symmetry group of the regular map
S3:{3,12}
.
Index to regular maps
Orientable
sphere
|
torus
|
2
|
3
|
4
|
5
|
6
Non-orientable
projective plane
|
4
|
5
|
6
|
7