C9 ⋊ C3

Statistics

Order of group27
GAP identifier27,4
Presentation< k,r | k9, r3, krk5r2 >
Orders of elements1 of 1, 8*1 of 3, 6*3 of 9
CentreC3
Derived subgroupC3
Automorphism groupa group of order 54
Inner automorphism groupC3×C3
"Out" (quotient of above)C6
Schur multiplier1
 

Permutation Diagrams


1-transitive on 9
points, even.

1-transitive on 9
points, even.

Cayley Graphs



Index to regular maps

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