C4×C2

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

Statistics

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
CentreC4×C2
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).