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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
3
:C
8
Direct product G=NxQ with N=
A
4
and Q=
C
3
:C
8
d
ρ
Label
ID
A
4
xC
3
:C
8
72
6
A4xC3:C8
288,408
Semidirect products G=N:Q with N=
A
4
and Q=
C
3
:C
8
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
:(C
3
:C
8
) =
C
12
.
12
S
4
φ:
C
3
:C
8
/
C
12
→
C
2
⊆ Out
A
4
72
6
A4:(C3:C8)
288,402
x
:
Z
F
o
wr
Q
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