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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=
Q
8
and Q=
C
19
:C
3
Direct product G=NxQ with N=
Q
8
and Q=
C
19
:C
3
d
ρ
Label
ID
Q
8
xC
19
:C
3
152
6
Q8xC19:C3
456,21
Semidirect products G=N:Q with N=
Q
8
and Q=
C
19
:C
3
extension
φ:Q→Out N
d
ρ
Label
ID
Q
8
:(C
19
:C
3
) =
C
38
.A
4
φ:
C
19
:C
3
/
C
19
→
C
3
⊆ Out
Q
8
152
6
Q8:(C19:C3)
456,23
x
:
Z
F
o
wr
Q
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