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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
×D
4
Direct product G=N×Q with N=
A
4
and Q=
C
3
×D
4
d
ρ
Label
ID
C
3
×D
4
×A
4
36
6
C3xD4xA4
288,980
Semidirect products G=N:Q with N=
A
4
and Q=
C
3
×D
4
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊
1
(C
3
×D
4
) =
C
3
×C
4
⋊S
4
φ:
C
3
×D
4
/
C
12
→
C
2
⊆ Out
A
4
36
6
A4:1(C3xD4)
288,898
A
4
⋊
2
(C
3
×D
4
) =
C
3
×A
4
⋊D
4
φ:
C
3
×D
4
/
C
2
×C
6
→
C
2
⊆ Out
A
4
36
6
A4:2(C3xD4)
288,906
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○
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