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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
2
xDic
7
Direct product G=NxQ with N=
C
3
and Q=
C
2
xDic
7
d
ρ
Label
ID
C
6
xDic
7
168
C6xDic7
168,27
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
xDic
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
2
xDic
7
) =
S
3
xDic
7
φ:
C
2
xDic
7
/
Dic
7
→
C
2
⊆ Aut
C
3
84
4-
C3:1(C2xDic7)
168,13
C
3
:
2
(C
2
xDic
7
) =
C
2
xDic
21
φ:
C
2
xDic
7
/
C
2
xC
14
→
C
2
⊆ Aut
C
3
168
C3:2(C2xDic7)
168,37
x
:
Z
F
o
wr
Q
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