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About
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=
S
3
2
Direct product G=N×Q with N=
A
4
and Q=
S
3
2
d
ρ
Label
ID
S
3
2
×A
4
24
12+
S3^2xA4
432,749
Semidirect products G=N:Q with N=
A
4
and Q=
S
3
2
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊
1
S
3
2
=
S
3
×C
3
⋊S
4
φ:
S
3
2
/
C
3
×S
3
→
C
2
⊆ Out
A
4
24
12+
A4:1S3^2
432,747
A
4
⋊
2
S
3
2
=
C
6
2
⋊
10
D
6
φ:
S
3
2
/
C
3
⋊S
3
→
C
2
⊆ Out
A
4
24
12+
A4:2S3^2
432,748
×
⋊
ℤ
𝔽
○
≀
ℚ
◁