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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
:F
7
and Q=
C
2
Direct product G=NxQ with N=
C
5
:F
7
and Q=
C
2
d
ρ
Label
ID
C
2
xC
5
:F
7
70
6+
C2xC5:F7
420,19
Semidirect products G=N:Q with N=
C
5
:F
7
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
C
5
:F
7
:C
2
=
D
5
xF
7
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
5
:F
7
35
12+
C5:F7:C2
420,16
x
:
Z
F
o
wr
Q
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