C28

C28 is Abelian, and is a direct product of two smaller groups.

Statistics

Order of group28
GAP identifier28,2
Presentation< k | k28 >
Orders of elements1 of 1, 1 of 2, 2*1 of 4, 6*1 of 7, 6*1 of 14, 12*1 of 28
CentreC28
Derived subgroup1
Automorphism groupC6×C2
Inner automorphism group1
"Out" (quotient of above)C6×C2
Schur multiplier1
Sylow-2-subgroupC4
 

Permutation Diagrams


Not transitive.

Not transitive.

Sharply 1-transitive
on 28 points, even.

Cayley Graphs






Index to regular maps

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