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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
2
2
xC
10
Direct product G=NxQ with N=
C
7
and Q=
C
2
2
xC
10
d
ρ
Label
ID
C
2
2
xC
70
280
C2^2xC70
280,40
Semidirect products G=N:Q with N=
C
7
and Q=
C
2
2
xC
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:(C
2
2
xC
10
) =
D
7
xC
2
xC
10
φ:
C
2
2
xC
10
/
C
2
xC
10
→
C
2
⊆ Aut
C
7
140
C7:(C2^2xC10)
280,37
x
:
Z
F
o
wr
Q
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