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Linear
C
n
D
n
S
n
A
n
...
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degree
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⋊
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Extensions
1→N→G→Q→1 with N=
C
2
×Q
8
⋊
2
D
5
and Q=
C
3
Direct product G=N×Q with N=
C
2
×Q
8
⋊
2
D
5
and Q=
C
3
d
ρ
Label
ID
C
6
×Q
8
⋊
2
D
5
240
C6xQ8:2D5
480,1143
Semidirect products G=N:Q with N=
C
2
×Q
8
⋊
2
D
5
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
×Q
8
⋊
2
D
5
)⋊C
3
=
C
2
×Dic
5
.A
4
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
2
×Q
8
⋊
2
D
5
160
(C2xQ8:2D5):C3
480,1038
×
⋊
ℤ
𝔽
○
≀