C20

Also called C5×C4.

C20 is Abelian, and is a direct product of two smaller groups.

Statistics
Order of group	20
GAP identifier	20,2
Presentation	< k \| k²⁰ >
Orders of elements	1 of 1, 1 of 2, 21 of 4, 41 of 5, 12*1 of 10
Centre	C20
Derived subgroup	1
Automorphism group	C4×C2
Inner automorphism group	1
"Out" (quotient of above)	C4×C2
Schur multiplier	1
Sylow-2-subgroup	C4

Permutation Diagrams

Not transitive.

Not transitive.

Sharply 1-transitive
on 20 points, odd.

Cayley Graphs

Regular maps with C20 symmetry

C20 is the rotational symmetry group of the regular map S5:{20,20}.

Index to regular maps