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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
2
and Q=
C
4
Direct product G=N×Q with N=
S
3
≀C
2
and Q=
C
4
d
ρ
Label
ID
C
4
×S
3
≀C
2
24
4
C4xS3wrC2
288,877
Semidirect products G=N:Q with N=
S
3
≀C
2
and Q=
C
4
extension
φ:Q→Out N
d
ρ
Label
ID
S
3
≀C
2
⋊C
4
=
C
2
.AΓL
1
(𝔽
9
)
φ:
C
4
/
C
2
→
C
2
⊆ Out
S
3
≀C
2
24
8+
S3wrC2:C4
288,841
×
⋊
ℤ
𝔽
○
≀
ℚ
◁