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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
:F
5
and Q=
C
2
Direct product G=NxQ with N=
C
5
:F
5
and Q=
C
2
d
ρ
Label
ID
C
2
xC
5
:F
5
50
C2xC5:F5
200,47
Semidirect products G=N:Q with N=
C
5
:F
5
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
C
5
:F
5
:C
2
=
D
5
:F
5
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
5
:F
5
10
8+
C5:F5:C2
200,42
Non-split extensions G=N.Q with N=
C
5
:F
5
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
C
5
:F
5
.C
2
=
C
5
2
:C
8
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
5
:F
5
10
8+
C5:F5.C2
200,40
x
:
Z
F
o
wr
Q
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