C15
Also called
C5×C3
.
C15
is Abelian, and is a direct product of two smaller groups
.
Statistics
Order of group
15
GAP identifier
15,1
Presentation
< k | k
15
>
Orders of elements
1 of 1, 2*1 of 3, 4*1 of 5, 8*1 of 15
Centre
C15
Derived subgroup
1
Automorphism group
C4×C2
Inner automorphism group
1
"Out"
(quotient of above)
C4×C2
Schur multiplier
1
Permutation Diagrams
Not transitive.
Not transitive.
Sharply 1-transitive
on 15 points, even.
Cayley Graphs