C4

Statistics
Order of group	4
GAP identifier	4,1
Presentation	< k \| k⁴ >
Orders of elements	1 of 1, 1 of 2, 2*1 of 4
Centre	C2×C2
Derived subgroup	1
Automorphism group	C2
Inner automorphism group	1
"Out" (quotient of above)	C2
Schur multiplier	1

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