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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
and Q=
C
2
xC
8
Direct product G=NxQ with N=
C
19
and Q=
C
2
xC
8
d
ρ
Label
ID
C
2
xC
152
304
C2xC152
304,22
Semidirect products G=N:Q with N=
C
19
and Q=
C
2
xC
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
19
:
1
(C
2
xC
8
) =
C
8
xD
19
φ:
C
2
xC
8
/
C
8
→
C
2
⊆ Aut
C
19
152
2
C19:1(C2xC8)
304,3
C
19
:
2
(C
2
xC
8
) =
C
2
xC
19
:C
8
φ:
C
2
xC
8
/
C
2
xC
4
→
C
2
⊆ Aut
C
19
304
C19:2(C2xC8)
304,8
x
:
Z
F
o
wr
Q
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