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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
xD
7
and Q=
S
3
Direct product G=NxQ with N=
C
3
xD
7
and Q=
S
3
d
ρ
Label
ID
C
3
xS
3
xD
7
42
4
C3xS3xD7
252,33
Semidirect products G=N:Q with N=
C
3
xD
7
and Q=
S
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
xD
7
):S
3
=
D
7
xC
3
:S
3
φ:
S
3
/
C
3
→
C
2
⊆ Out
C
3
xD
7
63
(C3xD7):S3
252,34
Non-split extensions G=N.Q with N=
C
3
xD
7
and Q=
S
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
xD
7
).S
3
=
D
7
xD
9
φ:
S
3
/
C
3
→
C
2
⊆ Out
C
3
xD
7
63
4+
(C3xD7).S3
252,8
x
:
Z
F
o
wr
Q
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