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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
3
and Q=
D
4
xC
11
Direct product G=NxQ with N=
C
3
and Q=
D
4
xC
11
d
ρ
Label
ID
D
4
xC
33
132
2
D4xC33
264,29
Semidirect products G=N:Q with N=
C
3
and Q=
D
4
xC
11
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(D
4
xC
11
) =
C
11
xD
12
φ:
D
4
xC
11
/
C
44
→
C
2
⊆ Aut
C
3
132
2
C3:1(D4xC11)
264,20
C
3
:
2
(D
4
xC
11
) =
C
11
xC
3
:D
4
φ:
D
4
xC
11
/
C
2
xC
22
→
C
2
⊆ Aut
C
3
132
2
C3:2(D4xC11)
264,22
x
:
Z
F
o
wr
Q
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