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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
7
and Q=
C
3
⋊S
3
Direct product G=N×Q with N=
C
7
and Q=
C
3
⋊S
3
d
ρ
Label
ID
C
7
×C
3
⋊S
3
63
C7xC3:S3
126,14
Semidirect products G=N:Q with N=
C
7
and Q=
C
3
⋊S
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊(C
3
⋊S
3
) =
C
3
⋊D
21
φ:
C
3
⋊S
3
/
C
3
2
→
C
2
⊆ Aut
C
7
63
C7:(C3:S3)
126,15
×
⋊
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○
≀
ℚ
◁