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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
×C
2
4
⋊C
5
and Q=
C
3
Direct product G=N×Q with N=
C
2
×C
2
4
⋊C
5
and Q=
C
3
d
ρ
Label
ID
C
6
×C
2
4
⋊C
5
30
5
C6xC2^4:C5
480,1204
Semidirect products G=N:Q with N=
C
2
×C
2
4
⋊C
5
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
×C
2
4
⋊C
5
)⋊C
3
=
C
2
×F
16
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
2
×C
2
4
⋊C
5
30
15+
(C2xC2^4:C5):C3
480,1190
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≀