Q16
Also called
quaternion(16)
,
dicyclic(16)
.
Statistics
Order of group
16
GAP identifier
16,9
Presentation
< b,r | b
8
, r
4
, (br)
4
, rbr
3
b >
Orders of elements
1 of 1, 1 of 2, 10 of 4, 4 of 8
Centre
C2
Derived subgroup
C4
Automorphism group
a group of order 32
Inner automorphism group
D8
"Out"
(quotient of above)
C2×C2
Schur multiplier
1
Cayley Graphs
Index to regular maps
Orientable
sphere
|
torus
|
2
|
3
|
4
|
5
|
6
Non-orientable
projective plane
|
4
|
5
|
6
|
7