C4×C2 is Abelian, and is a direct product of two smaller groups.


Order of group8
GAP identifier8,2
Presentation< k,r | k4, r2, [k,r] >
Orders of elements1 of 1, 1+2*1 of 2, 4*1 of 4
Derived subgroup1
Automorphism groupD8
Inner automorphism group1
"Out" (quotient of above)D8
Schur multiplierC2

Permutation Diagrams

Not transitive.

Cayley Graphs

the cube, type I

Regular maps with C4×C2 symmetry

C4×C2 is the rotational symmetry group of the regular map {4,4}(1,1).

Index to regular maps