D14

Also called  C7 ⋊ C2.

Statistics

Order of group14
GAP identifier14,1
Presentation< k,r | k7, r2, (kr)2 >
Orders of elements1 of 1, 7 of 2, 3*2 of 7
Centre1
Derived subgroupC7
Automorphism groupFrob42
Inner automorphism groupD14
"Out" (quotient of above)C3
Schur multiplier1
 

Permutation Diagrams


1-transitive on 7
points, odd.

1-transitive on 7
points, odd.

1-transitive on 14
points, odd.

Cayley Graphs


the 7-hosohedron, type II

the di-14gon, type I




Regular maps with D14 symmetry

D14 is the rotational symmetry group of the regular maps the 7-hosohedron,   the di-heptagon,   the 7-lucanicohedron.


Index to regular maps

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