PGL(2,7)
Statistics
Order of group
336
GAP identifier
336,208
Presentation
Orders of elements
Centre
1
Derived subgroup
PSL(2,7)
Automorphism group
PGL(2,7)
Inner automorphism group
PGL(2,7)
"Out"
(quotient of above)
1
Schur multiplier
C2
Sylow-2-subgroup
D16
Permutation Diagrams
Sharply 3-transitive
on 8 points, odd.
Cayley Graphs
the Klein map
, type III
Index to regular maps
Orientable
sphere
|
torus
|
2
|
3
|
4
|
5
|
6
Non-orientable
projective plane
|
4
|
5
|
6
|
7