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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=
S
3
×C
3
2
and Q=
C
2
Direct product G=N×Q with N=
S
3
×C
3
2
and Q=
C
2
d
ρ
Label
ID
S
3
×C
3
×C
6
36
S3xC3xC6
108,42
Semidirect products G=N:Q with N=
S
3
×C
3
2
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
×C
3
2
)⋊
1
C
2
=
C
3
×S
3
2
φ:
C
2
/
C
1
→
C
2
⊆ Out
S
3
×C
3
2
12
4
(S3xC3^2):1C2
108,38
(S
3
×C
3
2
)⋊
2
C
2
=
S
3
×C
3
⋊S
3
φ:
C
2
/
C
1
→
C
2
⊆ Out
S
3
×C
3
2
18
(S3xC3^2):2C2
108,39
×
⋊
ℤ
𝔽
○
≀
ℚ
◁