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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
7
and Q=
C
5
:
2
C
8
Direct product G=NxQ with N=
C
7
and Q=
C
5
:
2
C
8
d
ρ
Label
ID
C
7
xC
5
:
2
C
8
280
2
C7xC5:2C8
280,1
Semidirect products G=N:Q with N=
C
7
and Q=
C
5
:
2
C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:(C
5
:
2
C
8
) =
C
35
:
3
C
8
φ:
C
5
:
2
C
8
/
C
20
→
C
2
⊆ Aut
C
7
280
2
C7:(C5:2C8)
280,3
x
:
Z
F
o
wr
Q
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