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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=
D
5
and Q=
C
2
xC
10
Direct product G=NxQ with N=
D
5
and Q=
C
2
xC
10
d
ρ
Label
ID
D
5
xC
2
xC
10
40
D5xC2xC10
200,50
Non-split extensions G=N.Q with N=
D
5
and Q=
C
2
xC
10
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.(C
2
xC
10
) =
C
10
xF
5
φ:
C
2
xC
10
/
C
10
→
C
2
⊆ Out
D
5
40
4
D5.(C2xC10)
200,45
x
:
Z
F
o
wr
Q
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