C4×C2

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

Statistics
Order of group	8
GAP identifier	8,2
Presentation	< k,r \| k⁴, r², [k,r] >
Orders of elements	1 of 1, 1+21 of 2, 41 of 4
Centre	C4×C2
Derived subgroup	1
Automorphism group	D8
Inner automorphism group	1
"Out" (quotient of above)	D8
Schur multiplier	C2

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