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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
41
and Q=
D
4
Direct product G=NxQ with N=
C
41
and Q=
D
4
d
ρ
Label
ID
D
4
xC
41
164
2
D4xC41
328,10
Semidirect products G=N:Q with N=
C
41
and Q=
D
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
41
:
1
D
4
=
D
164
φ:
D
4
/
C
4
→
C
2
⊆ Aut
C
41
164
2+
C41:1D4
328,6
C
41
:
2
D
4
=
C
41
:D
4
φ:
D
4
/
C
2
2
→
C
2
⊆ Aut
C
41
164
2
C41:2D4
328,8
x
:
Z
F
o
wr
Q
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