Dic20

Also called  C5 ⋊ C2C4.

Statistics

Order of group20
GAP identifier20,1
Presentation< b,r | b5, r4, brbr3 >
Orders of elements1 of 1, 1 of 2, 2*5 of 4, 2*2 of 5, 4 of 10
CentreC2
Derived subgroupC5
Automorphism groupDic20×C2
Inner automorphism groupD10
"Out" (quotient of above)C2×C2
Schur multiplier1
Sylow-2-subgroupC4
 

Permutation Diagrams


Not transitive.

Cayley Graphs






Index to regular maps

Orientable sphere | torus | 2 | 3 | 4 | 5 | 6
Non-orientable projective plane | 4 | 5 | 6 | 7