Frob(20)

Also called C5 ⋊ _C4C4.

Statistics
Order of group	20
GAP identifier	20,3
Presentation	< k,g \| k⁵, g⁴, (kg)⁴ >
Orders of elements	1 of 1, 5 of 2, 2*5 of 4, 4 of 5
Centre	1
Derived subgroup	C5
Automorphism group	Frob(20)
Inner automorphism group	Frob(20)
"Out" (quotient of above)	1
Schur multiplier	1
Sylow-2-subgroup	C4

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