Also called  C7 ⋊ C2.


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
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