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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
2
2
:S
4
and Q=
C
3
Direct product G=NxQ with N=
C
2
2
:S
4
and Q=
C
3
d
ρ
Label
ID
C
3
xC
2
2
:S
4
24
6
C3xC2^2:S4
288,1035
Semidirect products G=N:Q with N=
C
2
2
:S
4
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
2
2
:S
4
:C
3
=
A
4
wrC
2
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
2
2
:S
4
8
6+
C2^2:S4:C3
288,1025
x
:
Z
F
o
wr
Q
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