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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
7
and Q=
C
2
xC
3
:S
3
Direct product G=NxQ with N=
C
7
and Q=
C
2
xC
3
:S
3
d
ρ
Label
ID
C
14
xC
3
:S
3
126
C14xC3:S3
252,44
Semidirect products G=N:Q with N=
C
7
and Q=
C
2
xC
3
:S
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:
1
(C
2
xC
3
:S
3
) =
D
7
xC
3
:S
3
φ:
C
2
xC
3
:S
3
/
C
3
:S
3
→
C
2
⊆ Aut
C
7
63
C7:1(C2xC3:S3)
252,34
C
7
:
2
(C
2
xC
3
:S
3
) =
C
2
xC
3
:D
21
φ:
C
2
xC
3
:S
3
/
C
3
xC
6
→
C
2
⊆ Aut
C
7
126
C7:2(C2xC3:S3)
252,45
x
:
Z
F
o
wr
Q
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