C9 ⋊ C3
Also called
M
27
,
M
3
(3)
.
Statistics
Order of group
27
GAP identifier
27,4
Presentation
< k,r | k
9
, r
3
, krk
5
r
2
>
Orders of elements
1 of 1, 8*1 of 3, 6*3 of 9
Centre
C3
Derived subgroup
C3
Automorphism group
a group of order 54
Inner automorphism group
C3×C3
"Out"
(quotient of above)
C6
Schur multiplier
1
Permutation Diagrams
1-transitive on 9
points, even.
1-transitive on 9
points, even.
Cayley Graphs