D22

Also called C11 ⋊ C2.

Statistics
Order of group	22
GAP identifier	22,1
Presentation	< k,r \| k¹¹, r², (kr)² >
Orders of elements	1 of 1, 11 of 2, 5*2 of 11
Centre	1
Derived subgroup	C11
Automorphism group	Frob110
Inner automorphism group	D22
"Out" (quotient of above)	C5
Schur multiplier	1

Permutation Diagrams

1-transitive on 11
points, odd.

1-transitive on 11
points, odd.

1-transitive on 22
points, odd.

Cayley Graphs

the 11-hosohedron, type II

Regular maps with D22 symmetry

D22 is the rotational symmetry group of the regular maps the 11-hosohedron, the di-11-gon, the 11-lucanicohedron.

Index to regular maps