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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
⋊C
8
Direct product G=N×Q with N=
A
4
and Q=
C
3
⋊C
8
d
ρ
Label
ID
A
4
×C
3
⋊C
8
72
6
A4xC3:C8
288,408
Semidirect products G=N:Q with N=
A
4
and Q=
C
3
⋊C
8
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊(C
3
⋊C
8
) =
C
12
.
12
S
4
φ:
C
3
⋊C
8
/
C
12
→
C
2
⊆ Out
A
4
72
6
A4:(C3:C8)
288,402
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𝔽
○
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ℚ
◁