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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
2
and Q=
C
2
×C
6
Direct product G=N×Q with N=
S
3
2
and Q=
C
2
×C
6
d
ρ
Label
ID
S
3
2
×C
2
×C
6
48
S3^2xC2xC6
432,767
Semidirect products G=N:Q with N=
S
3
2
and Q=
C
2
×C
6
extension
φ:Q→Out N
d
ρ
Label
ID
S
3
2
⋊(C
2
×C
6
) =
C
6
×S
3
≀C
2
φ:
C
2
×C
6
/
C
6
→
C
2
⊆ Out
S
3
2
24
4
S3^2:(C2xC6)
432,754
×
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𝔽
○
≀
ℚ
◁