Also called  C5 ⋊ C4C4.


Order of group20
GAP identifier20,3
Presentation< k,g | k5, g4, (kg)4 >
Orders of elements1 of 1, 5 of 2, 2*5 of 4, 4 of 5
Derived subgroupC5
Automorphism groupFrob(20)
Inner automorphism groupFrob(20)
"Out" (quotient of above)1
Schur multiplier1

Permutation Diagrams

Sharply 2-transitive
on 5 points, odd.

Sharply 2-transitive
on 5 points, odd.

Cayley Graphs

{4,4}(2,1), type II

Regular maps with Frob(20) symmetry

Frob(20) is the rotational symmetry group of the regular maps {4,4}(2,1),   C5:{10,4},   C5:{4,10}.

Index to regular maps