(C3×C3) ⋊ C2

Also called  (C3,C3) ⋊ C2.

Statistics

Order of group18
GAP identifier18,4
Presentation< k,r,g | k3, r3, c2, [k,r], (kc)2, (rc)2 >
Orders of elements1 of 1, 9 of 2, 4*2 of 3
Centre1
Derived subgroupC3×C3
Automorphism groupGL(2,3)
Inner automorphism group1
"Out" (quotient of above)GL(2,3)
Schur multiplierC3
Sylow-3-subgroupC3×C3
 

Permutation Diagrams


Not transitive.

Cayley Graphs




{6,3}(3,3), type I


Index to regular maps

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