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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
3
and Q=
C
3
xD
19
Direct product G=NxQ with N=
C
3
and Q=
C
3
xD
19
d
ρ
Label
ID
C
3
2
xD
19
171
C3^2xD19
342,13
Semidirect products G=N:Q with N=
C
3
and Q=
C
3
xD
19
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:(C
3
xD
19
) =
C
3
xD
57
φ:
C
3
xD
19
/
C
57
→
C
2
⊆ Aut
C
3
114
2
C3:(C3xD19)
342,15
Non-split extensions G=N.Q with N=
C
3
and Q=
C
3
xD
19
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.(C
3
xD
19
) =
C
9
xD
19
central extension (φ=1)
171
2
C3.(C3xD19)
342,4
x
:
Z
F
o
wr
Q
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