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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=
A
4
and Q=
C
3
2
⋊C
4
Direct product G=N×Q with N=
A
4
and Q=
C
3
2
⋊C
4
d
ρ
Label
ID
A
4
×C
3
2
⋊C
4
24
12+
A4xC3^2:C4
432,744
Semidirect products G=N:Q with N=
A
4
and Q=
C
3
2
⋊C
4
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊(C
3
2
⋊C
4
) =
C
6
2
⋊Dic
3
φ:
C
3
2
⋊C
4
/
C
3
⋊S
3
→
C
2
⊆ Out
A
4
24
12+
A4:(C3^2:C4)
432,743
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𝔽
○
≀
ℚ
◁