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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
2
2
:A
4
Direct product G=NxQ with N=
C
7
and Q=
C
2
2
:A
4
d
ρ
Label
ID
C
7
xC
2
2
:A
4
84
C7xC2^2:A4
336,223
Semidirect products G=N:Q with N=
C
7
and Q=
C
2
2
:A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:(C
2
2
:A
4
) =
C
7
:(C
2
2
:A
4
)
φ:
C
2
2
:A
4
/
C
2
4
→
C
3
⊆ Aut
C
7
84
C7:(C2^2:A4)
336,224
x
:
Z
F
o
wr
Q
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