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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=
C
2
2
×Dic
10
and Q=
C
3
Direct product G=N×Q with N=
C
2
2
×Dic
10
and Q=
C
3
d
ρ
Label
ID
C
2
×C
6
×Dic
10
480
C2xC6xDic10
480,1135
Semidirect products G=N:Q with N=
C
2
2
×Dic
10
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
2
×Dic
10
)⋊C
3
=
A
4
×Dic
10
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
2
2
×Dic
10
120
6-
(C2^2xDic10):C3
480,1035
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⋊
ℤ
𝔽
○
≀