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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
xQ
8
Direct product G=NxQ with N=
C
3
and Q=
C
7
xQ
8
d
ρ
Label
ID
Q
8
xC
21
168
2
Q8xC21
168,41
Semidirect products G=N:Q with N=
C
3
and Q=
C
7
xQ
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:(C
7
xQ
8
) =
C
7
xDic
6
φ:
C
7
xQ
8
/
C
28
→
C
2
⊆ Aut
C
3
168
2
C3:(C7xQ8)
168,29
x
:
Z
F
o
wr
Q
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