C21
Also called
C7×C3
.
C21
is Abelian, and is a direct product of two smaller groups
.
Statistics
Order of group
21
GAP identifier
21,2
Presentation
< k | k
21
>
Orders of elements
1 of 1, 2*1 of 3, 6*1 of 7, 12*1 of 21
Centre
C21
Derived subgroup
1
Automorphism group
C6×C2
Inner automorphism group
1
"Out"
(quotient of above)
C6×C2
Schur multiplier
1
Permutation Diagrams
Not transitive.
Not transitive.
Sharply 1-transitive
on 21 points, even.
Cayley Graphs