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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=
D
8
Direct product G=NxQ with N=
C
7
:C
3
and Q=
D
8
d
ρ
Label
ID
D
8
xC
7
:C
3
56
6
D8xC7:C3
336,53
Semidirect products G=N:Q with N=
C
7
:C
3
and Q=
D
8
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
:C
3
:
1
D
8
=
D
56
:C
3
φ:
D
8
/
C
8
→
C
2
⊆ Out
C
7
:C
3
56
6+
C7:C3:1D8
336,10
C
7
:C
3
:
2
D
8
=
D
4
:F
7
φ:
D
8
/
D
4
→
C
2
⊆ Out
C
7
:C
3
56
12+
C7:C3:2D8
336,18
x
:
Z
F
o
wr
Q
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