C20

Also called  C5×C4.

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

Statistics

Order of group20
GAP identifier20,2
Presentation< k | k20 >
Orders of elements1 of 1, 1 of 2, 2*1 of 4, 4*1 of 5, 12*1 of 10
CentreC20
Derived subgroup1
Automorphism groupC4×C2
Inner automorphism group1
"Out" (quotient of above)C4×C2
Schur multiplier1
Sylow-2-subgroupC4
 

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}.