C4 ⋊ C4
Statistics
Order of group
16
GAP identifier
16,4
Presentation
< k,r | k
4
, r
4
, krkr
3
>
Orders of elements
1 of 1, 3 of 2, 12 of 4
Centre
C2×C2
Derived subgroup
C2
Automorphism group
a group of order 32
Inner automorphism group
C2×C2
"Out"
(quotient of above)
a group of order 8
Schur multiplier
C2
Permutation Diagrams
Not transitive.
Cayley Graphs
{4,4}
(4,0)
, type I
Index to regular maps
Orientable
sphere
|
torus
|
2
|
3
|
4
|
5
|
6
Non-orientable
projective plane
|
4
|
5
|
6
|
7