quasidihedral(16)

Statistics

Order of group16
GAP identifier16,8
Presentation< k,r | k8, r2, krk5r >
Orders of elements1 of 1, 5 of 2, 6 of 4, 4 of 8
CentreC2
Derived subgroupC4
Automorphism groupD8×C2
Inner automorphism groupD8
"Out" (quotient of above)C2
Schur multiplier1
 

Permutation Diagrams


1-transitive on 8
points, odd.

1-transitive on 8
points, odd.

1-transitive on 8
points, odd.

1-transitive on 8
points, odd.

Cayley Graphs


S2:{8,3}, type I


Regular maps with quasidihedral(16) symmetry

quasidihedral(16) is the rotational symmetry group of the regular maps S2:{8,4},   S2:{4,8},   rectification of S2:{8,4}.


Index to regular maps

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