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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
2
×C
4
Direct product G=N×Q with N=
C
3
×S
3
and Q=
C
2
×C
4
d
ρ
Label
ID
S
3
×C
2
×C
12
48
S3xC2xC12
144,159
Semidirect products G=N:Q with N=
C
3
×S
3
and Q=
C
2
×C
4
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
×S
3
)⋊
1
(C
2
×C
4
) =
C
4
×S
3
2
φ:
C
2
×C
4
/
C
4
→
C
2
⊆ Out
C
3
×S
3
24
4
(C3xS3):1(C2xC4)
144,143
(C
3
×S
3
)⋊
2
(C
2
×C
4
) =
C
2
×S
3
×Dic
3
φ:
C
2
×C
4
/
C
2
2
→
C
2
⊆ Out
C
3
×S
3
48
(C3xS3):2(C2xC4)
144,146
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