C4

C4 is Abelian.

Statistics

Order of group4
GAP identifier4,1
Presentation< k | k4 >
Orders of elements1 of 1, 1 of 2, 2*1 of 4
CentreC2×C2
Derived subgroup1
Automorphism groupC2
Inner automorphism group1
"Out" (quotient of above)C2
Schur multiplier1
 

Permutation Diagrams


Sharply 1-transitive
on 4 points, odd.

Cayley Graphs


the di-square, type I


Regular maps with C4 symmetry

C4 is the rotational symmetry group of the regular map {4,4}(1,0).