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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
2
×Q
8
Direct product G=N×Q with N=
A
4
and Q=
C
2
×Q
8
d
ρ
Label
ID
C
2
×Q
8
×A
4
48
C2xQ8xA4
192,1499
Semidirect products G=N:Q with N=
A
4
and Q=
C
2
×Q
8
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊
1
(C
2
×Q
8
) =
C
2
×A
4
⋊Q
8
φ:
C
2
×Q
8
/
C
2
×C
4
→
C
2
⊆ Out
A
4
48
A4:1(C2xQ8)
192,1468
A
4
⋊
2
(C
2
×Q
8
) =
Q
8
×S
4
φ:
C
2
×Q
8
/
Q
8
→
C
2
⊆ Out
A
4
24
6-
A4:2(C2xQ8)
192,1477
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○
≀
ℚ
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