Q8×C2
Q8×C2
is the direct product of two smaller groups
.
Statistics
Order of group
16
GAP identifier
16,12
Presentation
< r,b,g | r
4
, b
4
, g
2
, rbr^-1b, r
2
b
2
, [r,g], [b,g] >
Orders of elements
1 of 1, 1+2*1 of 2, 6*2 of 4
Centre
C2×C2
Derived subgroup
C2
Automorphism group
a group of order 192
Inner automorphism group
C2×C2
"Out"
(quotient of above)
a group of order 48
Schur multiplier
C2×C2
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