C8
C8
is Abelian
.
Statistics
Order of group
8
GAP identifier
8,1
Presentation
< k | k
8
>
Orders of elements
1 of 1, 1 of 2, 2*1 of 4, 4*1 of 8
Centre
C8
Derived subgroup
1
Automorphism group
C2×C2
Inner automorphism group
1
"Out"
(quotient of above)
C2×C2
Schur multiplier
1
Permutation Diagrams
Sharply 1-transitive
on 8 points, odd.
Cayley Graphs
the di-octagon
, type I
Regular maps
with C8 symmetry
C8 is the rotational symmetry group of the regular map
S2:{8,8}
.