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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
3
and Q=
C
7
:F
5
Direct product G=NxQ with N=
C
3
and Q=
C
7
:F
5
d
ρ
Label
ID
C
3
xC
7
:F
5
105
4
C3xC7:F5
420,21
Semidirect products G=N:Q with N=
C
3
and Q=
C
7
:F
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:(C
7
:F
5
) =
C
5
:Dic
21
φ:
C
7
:F
5
/
C
7
xD
5
→
C
2
⊆ Aut
C
3
105
4
C3:(C7:F5)
420,23
x
:
Z
F
o
wr
Q
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