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IrrRep
Linear
C
n
D
n
S
n
A
n
...
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About
degree
Characters
×
⋊
.
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≀
Extensions
1→N→G→Q→1 with N=
D
4
×C
2
×C
10
and Q=
C
3
Direct product G=N×Q with N=
D
4
×C
2
×C
10
and Q=
C
3
d
ρ
Label
ID
D
4
×C
2
×C
30
240
D4xC2xC30
480,1181
Semidirect products G=N:Q with N=
D
4
×C
2
×C
10
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(D
4
×C
2
×C
10
)⋊C
3
=
C
5
×D
4
×A
4
φ:
C
3
/
C
1
→
C
3
⊆ Out
D
4
×C
2
×C
10
60
6
(D4xC2xC10):C3
480,1127
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