C8×C2

C8×C2 is Abelian, and is a direct product of two smaller groups.

Statistics

Order of group16
GAP identifier16,5
Presentation< k,r | k8, r2, [k,r] >
Orders of elements1 of 1, 1+2*1 of 2, 4*1 of 4, 8*1 of 8
CentreC8×C2
Derived subgroup1
Automorphism groupD8×C2
Inner automorphism group1
"Out" (quotient of above)D8×C2
Schur multiplierC2
 

Permutation Diagrams


Not transitive.

Cayley Graphs


the 8-hosohedron, type IIa


Regular maps with C8×C2 symmetry

C8×C2 is the rotational symmetry group of the regular map S3:{8,8}2.


Index to regular maps

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