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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
4
2
:C
3
Direct product G=NxQ with N=
C
7
and Q=
C
4
2
:C
3
d
ρ
Label
ID
C
7
xC
4
2
:C
3
84
3
C7xC4^2:C3
336,56
Semidirect products G=N:Q with N=
C
7
and Q=
C
4
2
:C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:(C
4
2
:C
3
) =
C
4
2
:(C
7
:C
3
)
φ:
C
4
2
:C
3
/
C
4
2
→
C
3
⊆ Aut
C
7
84
3
C7:(C4^2:C3)
336,57
x
:
Z
F
o
wr
Q
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