C3
Also called
A3
.
C3
is Abelian and simple
.
Statistics
Order of group
3
GAP identifier
3,1
Presentation
< k  k
^{3}
>
Orders of elements
1 of 1, 2*1 of 3
Centre
C3
Derived subgroup
1
Automorphism group
C2
Inner automorphism group
1
"Out"
(quotient of above)
C2
Schur multiplier
1
Permutation Diagrams
Sharply 1transitive
on 3 points, even.
Not transitive.
Cayley Graphs
the ditriangle
, type I
Index to regular maps
Orientable
sphere

torus

2

3

4

5

6
Nonorientable
projective plane

4

5

6

7