D26

Also called  C13 ⋊ C2.

Statistics

Order of group26
GAP identifier26,1
Presentation< k,r | k11, r2, (kr)2 >
Orders of elements1 of 1, 13 of 2, 6*2 of 13
Centre1
Derived subgroupC13
Automorphism groupFrob156
Inner automorphism groupD26
"Out" (quotient of above)C6
Schur multiplier1
 

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

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