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}.

Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720


Index to regular maps