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Linear
C
n
D
n
S
n
A
n
...
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About
degree
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
5
and Q=
C
2
3
×A
4
Direct product G=N×Q with N=
C
5
and Q=
C
2
3
×A
4
d
ρ
Label
ID
A
4
×C
2
2
×C
10
120
A4xC2^2xC10
480,1208
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
3
×A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(C
2
3
×A
4
) =
C
2
2
×D
5
×A
4
φ:
C
2
3
×A
4
/
C
2
2
×A
4
→
C
2
⊆ Aut
C
5
60
C5:(C2^3xA4)
480,1202
×
⋊
ℤ
𝔽
○
≀