C9×C3

C9×C3 is Abelian, and is a direct product of two smaller groups.

Statistics

Order of group27
GAP identifier27,2
Presentation< k,r | k9, r3, [k,r] >
Orders of elements1 of 1, 8*1 of 3, 18*1 of 9
CentreC9×C3
Derived subgroup1
Automorphism groupa group of order 108
Inner automorphism group1
"Out" (quotient of above)a group of order 108
Schur multiplierC3
 

Permutation Diagrams


Not transitive.

Cayley Graphs




Index to regular maps

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