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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
3
2
:C
4
Direct product G=NxQ with N=
C
7
and Q=
C
3
2
:C
4
d
ρ
Label
ID
C
7
xC
3
2
:C
4
42
4
C7xC3^2:C4
252,31
Semidirect products G=N:Q with N=
C
7
and Q=
C
3
2
:C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:(C
3
2
:C
4
) =
C
3
2
:Dic
7
φ:
C
3
2
:C
4
/
C
3
:S
3
→
C
2
⊆ Aut
C
7
42
4
C7:(C3^2:C4)
252,32
x
:
Z
F
o
wr
Q
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