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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
xD
7
and Q=
C
4
Direct product G=NxQ with N=
C
5
xD
7
and Q=
C
4
d
ρ
Label
ID
D
7
xC
20
140
2
D7xC20
280,15
Semidirect products G=N:Q with N=
C
5
xD
7
and Q=
C
4
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
xD
7
):C
4
=
D
7
xF
5
φ:
C
4
/
C
1
→
C
4
⊆ Out
C
5
xD
7
35
8+
(C5xD7):C4
280,32
(C
5
xD
7
):
2
C
4
=
D
7
xDic
5
φ:
C
4
/
C
2
→
C
2
⊆ Out
C
5
xD
7
140
4-
(C5xD7):2C4
280,7
x
:
Z
F
o
wr
Q
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