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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
2
4
⋊
4
S
3
and Q=
C
3
Direct product G=N×Q with N=
C
2
4
⋊
4
S
3
and Q=
C
3
d
ρ
Label
ID
C
3
×C
2
4
⋊
4
S
3
24
C3xC2^4:4S3
288,724
Semidirect products G=N:Q with N=
C
2
4
⋊
4
S
3
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
2
4
⋊
4
S
3
⋊C
3
=
(C
2
2
×S
3
)⋊A
4
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
2
4
⋊
4
S
3
24
6
C2^4:4S3:C3
288,411
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⋊
ℤ
𝔽
○
≀
ℚ
◁