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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
3
and Q=
C
2
Direct product G=N×Q with N=
C
3
3
and Q=
C
2
d
ρ
Label
ID
C
3
2
×C
6
54
C3^2xC6
54,15
Semidirect products G=N:Q with N=
C
3
3
and Q=
C
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
3
⋊
1
C
2
=
S
3
×C
3
2
φ:
C
2
/
C
1
→
C
2
⊆ Aut
C
3
3
18
C3^3:1C2
54,12
C
3
3
⋊
2
C
2
=
C
3
×C
3
⋊S
3
φ:
C
2
/
C
1
→
C
2
⊆ Aut
C
3
3
18
C3^3:2C2
54,13
C
3
3
⋊
3
C
2
=
C
3
3
⋊C
2
φ:
C
2
/
C
1
→
C
2
⊆ Aut
C
3
3
27
C3^3:3C2
54,14
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