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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
:S
3
and Q=
C
7
:C
3
Direct product G=NxQ with N=
C
3
:S
3
and Q=
C
7
:C
3
d
ρ
Label
ID
C
3
:S
3
xC
7
:C
3
63
C3:S3xC7:C3
378,50
Semidirect products G=N:Q with N=
C
3
:S
3
and Q=
C
7
:C
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
:S
3
:(C
7
:C
3
) =
C
7
:He
3
:C
2
φ:
C
7
:C
3
/
C
7
→
C
3
⊆ Out
C
3
:S
3
63
6
C3:S3:(C7:C3)
378,17
x
:
Z
F
o
wr
Q
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