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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
2
⋊A
4
and Q=
C
5
Direct product G=N×Q with N=
C
2
×C
2
2
⋊A
4
and Q=
C
5
d
ρ
Label
ID
C
10
×C
2
2
⋊A
4
60
C10xC2^2:A4
480,1209
Semidirect products G=N:Q with N=
C
2
×C
2
2
⋊A
4
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
×C
2
2
⋊A
4
)⋊C
5
=
C
2
×F
16
φ:
C
5
/
C
1
→
C
5
⊆ Out
C
2
×C
2
2
⋊A
4
30
15+
(C2xC2^2:A4):C5
480,1190
×
⋊
ℤ
𝔽
○
≀