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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=
A
4
and Q=
C
2
2
xC
4
Direct product G=NxQ with N=
A
4
and Q=
C
2
2
xC
4
d
ρ
Label
ID
A
4
xC
2
2
xC
4
48
A4xC2^2xC4
192,1496
Semidirect products G=N:Q with N=
A
4
and Q=
C
2
2
xC
4
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
:
1
(C
2
2
xC
4
) =
C
2
xC
4
xS
4
φ:
C
2
2
xC
4
/
C
2
xC
4
→
C
2
⊆ Out
A
4
24
A4:1(C2^2xC4)
192,1469
A
4
:
2
(C
2
2
xC
4
) =
C
2
2
xA
4
:C
4
φ:
C
2
2
xC
4
/
C
2
3
→
C
2
⊆ Out
A
4
48
A4:2(C2^2xC4)
192,1487
x
:
Z
F
o
wr
Q
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