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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr
Extensions
1→N→G→Q→1 with N=
C
5
and Q=
C
2
.C
4
2
Direct product G=NxQ with N=
C
5
and Q=
C
2
.C
4
2
d
ρ
Label
ID
C
5
xC
2
.C
4
2
160
C5xC2.C4^2
160,45
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
.C
4
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:(C
2
.C
4
2
) =
D
10
.
3
Q
8
φ:
C
2
.C
4
2
/
C
2
xC
4
→
C
4
⊆ Aut
C
5
40
C5:(C2.C4^2)
160,81
C
5
:
2
(C
2
.C
4
2
) =
C
10
.
10
C
4
2
φ:
C
2
.C
4
2
/
C
2
2
xC
4
→
C
2
⊆ Aut
C
5
160
C5:2(C2.C4^2)
160,38
x
:
Z
F
o
wr
Q
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