C26

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

Statistics

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
CentreC26
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

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