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Linear
C
n
D
n
S
n
A
n
...
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degree
Characters
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⋊
.
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≀
Extensions
1→N→G→Q→1 with N=
C
2
3
×C
20
and Q=
C
3
Direct product G=N×Q with N=
C
2
3
×C
20
and Q=
C
3
d
ρ
Label
ID
C
2
3
×C
60
480
C2^3xC60
480,1180
Semidirect products G=N:Q with N=
C
2
3
×C
20
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
3
×C
20
)⋊C
3
=
A
4
×C
2
×C
20
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
2
3
×C
20
120
(C2^3xC20):C3
480,1126
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⋊
ℤ
𝔽
○
≀