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IrrRep
Linear
C
n
D
n
S
n
A
n
...
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degree
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Extensions
1→N→G→Q→1 with N=
C
5
and Q=
C
2
×C
2
2
⋊A
4
Direct product G=N×Q with N=
C
5
and Q=
C
2
×C
2
2
⋊A
4
d
ρ
Label
ID
C
10
×C
2
2
⋊A
4
60
C10xC2^2:A4
480,1209
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
×C
2
2
⋊A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(C
2
×C
2
2
⋊A
4
) =
D
5
×C
2
2
⋊A
4
φ:
C
2
×C
2
2
⋊A
4
/
C
2
2
⋊A
4
→
C
2
⊆ Aut
C
5
60
C5:(C2xC2^2:A4)
480,1203
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