C3×C3

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

Statistics

Order of group9
GAP identifier9,2
Presentation< k, r | k3, r3, [k,r] >
Orders of elements1 of 1, 8*1 of 3
CentreC3×C3
Derived subgroup1
Automorphism groupGL(2,3)
Inner automorphism group1
"Out" (quotient of above)GL(2,3)
Schur multiplierC3
 

Permutation Diagrams


Not transitive.

Cayley Graphs



{4,4}(3,0), type I

Index to regular maps

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