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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
7
:C
3
and Q=
C
2
xC
4
Direct product G=NxQ with N=
C
7
:C
3
and Q=
C
2
xC
4
d
ρ
Label
ID
C
2
xC
4
xC
7
:C
3
56
C2xC4xC7:C3
168,19
Semidirect products G=N:Q with N=
C
7
:C
3
and Q=
C
2
xC
4
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
:C
3
:
1
(C
2
xC
4
) =
C
4
xF
7
φ:
C
2
xC
4
/
C
4
→
C
2
⊆ Out
C
7
:C
3
28
6
C7:C3:1(C2xC4)
168,8
C
7
:C
3
:
2
(C
2
xC
4
) =
C
2
xC
7
:C
12
φ:
C
2
xC
4
/
C
2
2
→
C
2
⊆ Out
C
7
:C
3
56
C7:C3:2(C2xC4)
168,10
x
:
Z
F
o
wr
Q
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