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IrrRep
Linear
C
n
D
n
S
n
A
n
...
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About
degree
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
A
4
and Q=
C
5
×Q
8
Direct product G=N×Q with N=
A
4
and Q=
C
5
×Q
8
d
ρ
Label
ID
C
5
×Q
8
×A
4
120
6
C5xQ8xA4
480,1129
Semidirect products G=N:Q with N=
A
4
and Q=
C
5
×Q
8
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊(C
5
×Q
8
) =
C
5
×A
4
⋊Q
8
φ:
C
5
×Q
8
/
C
20
→
C
2
⊆ Out
A
4
120
6
A4:(C5xQ8)
480,1013
×
⋊
ℤ
𝔽
○
≀