C4 is Abelian.


Order of group4
GAP identifier4,1
Presentation< k | k4 >
Orders of elements1 of 1, 1 of 2, 2*1 of 4
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).

Index to regular maps