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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
5
xC
10
Direct product G=NxQ with N=
D
5
and Q=
C
5
xC
10
d
ρ
Label
ID
D
5
xC
5
xC
10
100
D5xC5xC10
500,53
Non-split extensions G=N.Q with N=
D
5
and Q=
C
5
xC
10
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.(C
5
xC
10
) =
F
5
xC
5
2
φ:
C
5
xC
10
/
C
5
2
→
C
2
⊆ Out
D
5
100
D5.(C5xC10)
500,41
x
:
Z
F
o
wr
Q
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