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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
xQ
8
Direct product G=NxQ with N=
D
5
and Q=
C
2
xQ
8
d
ρ
Label
ID
C
2
xQ
8
xD
5
80
C2xQ8xD5
160,220
Non-split extensions G=N.Q with N=
D
5
and Q=
C
2
xQ
8
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.
1
(C
2
xQ
8
) =
C
2
xC
4
:F
5
φ:
C
2
xQ
8
/
C
2
xC
4
→
C
2
⊆ Out
D
5
40
D5.1(C2xQ8)
160,204
D
5
.
2
(C
2
xQ
8
) =
Q
8
xF
5
φ:
C
2
xQ
8
/
Q
8
→
C
2
⊆ Out
D
5
40
8-
D5.2(C2xQ8)
160,209
x
:
Z
F
o
wr
Q
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