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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
19
:C
3
and Q=
D
4
Direct product G=NxQ with N=
C
19
:C
3
and Q=
D
4
d
ρ
Label
ID
D
4
xC
19
:C
3
76
6
D4xC19:C3
456,20
Semidirect products G=N:Q with N=
C
19
:C
3
and Q=
D
4
extension
φ:Q→Out N
d
ρ
Label
ID
C
19
:C
3
:
1
D
4
=
D
76
:C
3
φ:
D
4
/
C
4
→
C
2
⊆ Out
C
19
:C
3
76
6+
C19:C3:1D4
456,9
C
19
:C
3
:
2
D
4
=
D
38
:C
6
φ:
D
4
/
C
2
2
→
C
2
⊆ Out
C
19
:C
3
76
6
C19:C3:2D4
456,11
x
:
Z
F
o
wr
Q
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