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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
2
4
:C
5
and Q=
C
4
Direct product G=NxQ with N=
C
2
4
:C
5
and Q=
C
4
d
ρ
Label
ID
C
4
xC
2
4
:C
5
20
5
C4xC2^4:C5
320,1584
Semidirect products G=N:Q with N=
C
2
4
:C
5
and Q=
C
4
extension
φ:Q→Out N
d
ρ
Label
ID
C
2
4
:C
5
:C
4
=
C
2
4
:F
5
φ:
C
4
/
C
1
→
C
4
⊆ Out
C
2
4
:C
5
10
5+
C2^4:C5:C4
320,1635
C
2
4
:C
5
:
2
C
4
=
C
2
5
.D
5
φ:
C
4
/
C
2
→
C
2
⊆ Out
C
2
4
:C
5
20
5
C2^4:C5:2C4
320,1583
x
:
Z
F
o
wr
Q
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