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IrrRep
Linear
C
n
D
n
S
n
A
n
...
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degree
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⋊
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Extensions
1→N→G→Q→1 with N=
C
3
and Q=
C
2
×C
2
4
⋊C
5
Direct product G=N×Q with N=
C
3
and Q=
C
2
×C
2
4
⋊C
5
d
ρ
Label
ID
C
6
×C
2
4
⋊C
5
30
5
C6xC2^4:C5
480,1204
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
×C
2
4
⋊C
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
2
×C
2
4
⋊C
5
) =
S
3
×C
2
4
⋊C
5
φ:
C
2
×C
2
4
⋊C
5
/
C
2
4
⋊C
5
→
C
2
⊆ Aut
C
3
30
10+
C3:(C2xC2^4:C5)
480,1196
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