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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=
D
15
and Q=
C
2
4
Direct product G=N×Q with N=
D
15
and Q=
C
2
4
d
ρ
Label
ID
C
2
4
×D
15
240
C2^4xD15
480,1212
Semidirect products G=N:Q with N=
D
15
and Q=
C
2
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
15
⋊C
2
4
=
S
3
×C
2
3
×D
5
φ:
C
2
4
/
C
2
3
→
C
2
⊆ Out
D
15
120
D15:C2^4
480,1207
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