C22

Also called  C11×C2.

C22 is Abelian, and is a direct product of two smaller groups.

Statistics

Order of group22
GAP identifier22,2
Presentation< k | k22 >
Orders of elements1 of 1, 1 of 2, 10*1 of 11, 10*1 of 22
CentreC22
Derived subgroup1
Automorphism groupC10
Inner automorphism group1
"Out" (quotient of above)C10
Schur multiplier1
 

Permutation Diagrams


Not transitive.

Not transitive.

Sharply 1-transitive
on 22 points, odd.

Cayley Graphs



the 11-hosohedron, type IIa



Regular maps with C22 symmetry

C22 is the rotational symmetry group of the regular maps S5:{11,22},   S5:{22,11}.


Index to regular maps

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