C3×C3×C2

Also called  C6×C3.

C3×C3×C2 is Abelian, and is a direct product of two smaller groups.

Statistics

Order of group18
GAP identifier18,5
Presentation< k,r | k6, r3, [k,r] >
Orders of elements1 of 1, 1 of 2, 8*1 of 3, 8*1 of 6
CentreC3×C3×C2
Derived subgroup1
Automorphism groupGL(2,3)
Inner automorphism group1
"Out" (quotient of above)GL(2,3)
Schur multiplierC3
Sylow-3-subgroupC3×C3
 

Permutation Diagrams


Not transitive.

Not transitive.

Not transitive.

Cayley Graphs



Index to regular maps

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