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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=
C
7
xD
4
Direct product G=NxQ with N=
C
3
and Q=
C
7
xD
4
d
ρ
Label
ID
D
4
xC
21
84
2
D4xC21
168,40
Semidirect products G=N:Q with N=
C
3
and Q=
C
7
xD
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
7
xD
4
) =
C
7
xD
12
φ:
C
7
xD
4
/
C
28
→
C
2
⊆ Aut
C
3
84
2
C3:1(C7xD4)
168,31
C
3
:
2
(C
7
xD
4
) =
C
7
xC
3
:D
4
φ:
C
7
xD
4
/
C
2
xC
14
→
C
2
⊆ Aut
C
3
84
2
C3:2(C7xD4)
168,33
x
:
Z
F
o
wr
Q
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