C14

Also called  C7×C2.

C14 is Abelian, and is a direct product of two smaller groups.

Statistics

Order of group14
GAP identifier14,2
Presentation< k | k14 >
Orders of elements1 of 1, 1 of 2, 6*1 of 7, 6*1 of 14
CentreC14
Derived subgroup1
Automorphism groupC6
Inner automorphism group1
"Out" (quotient of above)C6
Schur multiplier1
 

Permutation Diagrams


Not transitive.

Not transitive.

Sharply 1-transitive
on 14 points, odd.

Cayley Graphs


the di-14gon, type I

the 7-hosohedron, type IIa



Regular maps with C14 symmetry

C14 is the rotational symmetry group of the regular maps S3:{14,7},   S3{7,14},   rectification of S3:{14,7}.


Index to regular maps

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