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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
xS
3
and Q=
C
7
:C
3
Direct product G=NxQ with N=
C
3
xS
3
and Q=
C
7
:C
3
d
ρ
Label
ID
C
3
xS
3
xC
7
:C
3
42
6
C3xS3xC7:C3
378,48
Non-split extensions G=N.Q with N=
C
3
xS
3
and Q=
C
7
:C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
xS
3
).(C
7
:C
3
) =
S
3
xC
7
:C
9
φ: trivial image
126
6
(C3xS3).(C7:C3)
378,16
x
:
Z
F
o
wr
Q
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