C3

Also called  A3.

C3 is Abelian and simple.

Statistics

Order of group3
GAP identifier3,1
Presentation< k | k3 >
Orders of elements1 of 1, 2*1 of 3
CentreC3
Derived subgroup1
Automorphism groupC2
Inner automorphism group1
"Out" (quotient of above)C2
Schur multiplier1
 

Permutation Diagrams


Sharply 1-transitive
on 3 points, even.

Not transitive.

Cayley Graphs


the di-triangle, type I


Index to regular maps

Orientable sphere | torus | 2 | 3 | 4 | 5 | 6
Non-orientable projective plane | 4 | 5 | 6 | 7