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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
xDic
3
Direct product G=NxQ with N=
C
19
and Q=
C
2
xDic
3
d
ρ
Label
ID
Dic
3
xC
38
456
Dic3xC38
456,32
Semidirect products G=N:Q with N=
C
19
and Q=
C
2
xDic
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
19
:
1
(C
2
xDic
3
) =
Dic
3
xD
19
φ:
C
2
xDic
3
/
Dic
3
→
C
2
⊆ Aut
C
19
228
4-
C19:1(C2xDic3)
456,12
C
19
:
2
(C
2
xDic
3
) =
C
2
xDic
57
φ:
C
2
xDic
3
/
C
2
xC
6
→
C
2
⊆ Aut
C
19
456
C19:2(C2xDic3)
456,37
x
:
Z
F
o
wr
Q
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