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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=
A
5
and Q=
C
2
3
Direct product G=N×Q with N=
A
5
and Q=
C
2
3
d
ρ
Label
ID
C
2
3
×A
5
40
C2^3xA5
480,1187
Semidirect products G=N:Q with N=
A
5
and Q=
C
2
3
extension
φ:Q→Out N
d
ρ
Label
ID
A
5
⋊C
2
3
=
C
2
2
×S
5
φ:
C
2
3
/
C
2
2
→
C
2
⊆ Out
A
5
20
A5:C2^3
480,1186
×
⋊
ℤ
𝔽
○
≀