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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=
SL
2
(
F
3
)
Direct product G=NxQ with N=
C
19
and Q=
SL
2
(
F
3
)
d
ρ
Label
ID
C
19
xSL
2
(
F
3
)
152
2
C19xSL(2,3)
456,22
Semidirect products G=N:Q with N=
C
19
and Q=
SL
2
(
F
3
)
extension
φ:Q→Aut N
d
ρ
Label
ID
C
19
:SL
2
(
F
3
) =
C
38
.A
4
φ:
SL
2
(
F
3
)
/
Q
8
→
C
3
⊆ Aut
C
19
152
6
C19:SL(2,3)
456,23
x
:
Z
F
o
wr
Q
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