C7

C7 is Abelian and simple.

Statistics

Order of group7
GAP identifier7,1
Presentation< k | k7 >
Orders of elements1 of 1, 6*1 of 7
CentreC7
Derived subgroup1
Automorphism groupC6
Inner automorphism group1
"Out" (quotient of above)C6
Schur multiplier1
 

Permutation Diagrams


Sharply 1-transitive
on 7 points, even.

Cayley Graphs


the di-heptagon, type I



Index to regular maps

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