C26 is Abelian, and is a direct product of two smaller groups.


Order of group26
GAP identifier26,2
Presentation< k | k26 >
Orders of elements1 of 1, 1 of 2, 12*1 of 13, 12*1 of 26
Derived subgroup1
Automorphism groupC12
Inner automorphism group1
"Out" (quotient of above)C12
Schur multiplier1

Permutation Diagrams

Not transitive.

Not transitive.

Sharply 1-transitive
on 26 points, odd.

Cayley Graphs

the 13-hosohedron, type IIa

Regular maps with C26 symmetry

C26 is the rotational symmetry group of the regular map S6:{13,26}.

Index to regular maps