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Linear
C
n
D
n
S
n
A
n
...
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degree
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Extensions
1→N→G→Q→1 with N=
C
2
2
×C
5
⋊D
4
and Q=
C
3
Direct product G=N×Q with N=
C
2
2
×C
5
⋊D
4
and Q=
C
3
d
ρ
Label
ID
C
2
×C
6
×C
5
⋊D
4
240
C2xC6xC5:D4
480,1149
Semidirect products G=N:Q with N=
C
2
2
×C
5
⋊D
4
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
2
×C
5
⋊D
4
)⋊C
3
=
A
4
×C
5
⋊D
4
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
2
2
×C
5
⋊D
4
60
6
(C2^2xC5:D4):C3
480,1045
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⋊
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≀