Dic28
Also called
C7 ⋊
C4
C4
.
Statistics
Order of group
28
GAP identifier
28,1
Presentation
< b,r | b
7
, r
4
, brbr
3
>
Orders of elements
1 of 1, 1 of 2, 2*7 of 4, 3*2 of 7, 6 of 14
Centre
C2
Derived subgroup
C7
Automorphism group
Frob42×C2
Inner automorphism group
D14
"Out"
(quotient of above)
D6
Schur multiplier
1
Sylow-2-subgroup
C4
Permutation Diagrams
Not transitive.
Cayley Graphs
Index to regular maps
Orientable
sphere
|
torus
|
2
|
3
|
4
|
5
|
6
Non-orientable
projective plane
|
4
|
5
|
6
|
7