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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
17
and Q=
C
3
⋊S
3
Direct product G=N×Q with N=
C
17
and Q=
C
3
⋊S
3
d
ρ
Label
ID
C
17
×C
3
⋊S
3
153
C17xC3:S3
306,8
Semidirect products G=N:Q with N=
C
17
and Q=
C
3
⋊S
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
17
⋊(C
3
⋊S
3
) =
C
3
⋊D
51
φ:
C
3
⋊S
3
/
C
3
2
→
C
2
⊆ Aut
C
17
153
C17:(C3:S3)
306,9
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○
≀
ℚ
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