Go
Home
About
C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr
Extensions
1→N→G→Q→1 with N=
D
5
and Q=
C
2
xC
4
Direct product G=NxQ with N=
D
5
and Q=
C
2
xC
4
d
ρ
Label
ID
C
2
xC
4
xD
5
40
C2xC4xD5
80,36
Semidirect products G=N:Q with N=
D
5
and Q=
C
2
xC
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
:(C
2
xC
4
) =
C
2
2
xF
5
φ:
C
2
xC
4
/
C
2
2
→
C
2
⊆ Out
D
5
20
D5:(C2xC4)
80,50
Non-split extensions G=N.Q with N=
D
5
and Q=
C
2
xC
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.(C
2
xC
4
) =
C
4
xF
5
φ:
C
2
xC
4
/
C
4
→
C
2
⊆ Out
D
5
20
4
D5.(C2xC4)
80,30
x
:
Z
F
o
wr
Q
<