D26

Also called C13 ⋊ C2.

Statistics
Order of group	26
GAP identifier	26,1
Presentation	< k,r \| k¹¹, r², (kr)² >
Orders of elements	1 of 1, 13 of 2, 6*2 of 13
Centre	1
Derived subgroup	C13
Automorphism group	Frob156
Inner automorphism group	D26
"Out" (quotient of above)	C6
Schur multiplier	1

Permutation Diagrams

1-transitive on 13
points, even.

1-transitive on 13
points, even.

1-transitive on 26
points, odd.

Cayley Graphs

the 13-hosohedron, type II

Regular maps with D26 symmetry

D26 is the rotational symmetry group of the regular maps the di-13gon, the 13-hosohedron.

Index to regular maps