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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
3
⋊S
3
and Q=
C
27
Direct product G=N×Q with N=
C
3
⋊S
3
and Q=
C
27
d
ρ
Label
ID
C
3
⋊S
3
×C
27
162
C3:S3xC27
486,161
Semidirect products G=N:Q with N=
C
3
⋊S
3
and Q=
C
27
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
⋊S
3
⋊C
27
=
C
3
2
⋊C
54
φ:
C
27
/
C
9
→
C
3
⊆ Out
C
3
⋊S
3
54
6
C3:S3:C27
486,16
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○
≀
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