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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
5
and Q=
C
2
4
×C
6
Direct product G=N×Q with N=
C
5
and Q=
C
2
4
×C
6
d
ρ
Label
ID
C
2
4
×C
30
480
C2^4xC30
480,1213
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
4
×C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(C
2
4
×C
6
) =
D
5
×C
2
3
×C
6
φ:
C
2
4
×C
6
/
C
2
3
×C
6
→
C
2
⊆ Aut
C
5
240
C5:(C2^4xC6)
480,1210
×
⋊
ℤ
𝔽
○
≀