binary icosahedral group
Also called
SL(2,5)
,
H
3
,
C2 ↑ A5
.
Statistics
Order of group
120
GAP identifier
120,5
Presentation
Orders of elements
Centre
C2
Derived subgroup
binary icosahedral group
Automorphism group
S5
Inner automorphism group
A5
"Out"
(quotient of above)
C2
Schur multiplier
1
Sylow-2-subgroup
Q8
Index to regular maps
Orientable
sphere
|
torus
|
2
|
3
|
4
|
5
|
6
Non-orientable
projective plane
|
4
|
5
|
6
|
7