C3×C3×C3

C3×C3×C3 is Abelian, and is a direct product of two smaller groups.

Statistics

Order of group27
GAP identifier27,5
Presentation< k,r,g | k3, r3, g3, [k,r], [r,g], [g,k] >
Orders of elements1 of 1, 26*1 of 27
CentreC3×C3×C3
Derived subgroup1
Automorphism groupGL(3,3)
Inner automorphism group1
"Out" (quotient of above)GL(3,3)
Schur multiplierC3×C3×C3
 

Permutation Diagrams


Not transitive.

Cayley Graphs



Index to regular maps