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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
2
and Q=
D
7
Direct product G=NxQ with N=
C
5
2
and Q=
D
7
d
ρ
Label
ID
D
7
xC
5
2
175
D7xC5^2
350,5
Semidirect products G=N:Q with N=
C
5
2
and Q=
D
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
2
:
1
D
7
=
C
5
xD
35
φ:
D
7
/
C
7
→
C
2
⊆ Aut
C
5
2
70
2
C5^2:1D7
350,7
C
5
2
:
2
D
7
=
C
5
:D
35
φ:
D
7
/
C
7
→
C
2
⊆ Aut
C
5
2
175
C5^2:2D7
350,9
x
:
Z
F
o
wr
Q
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