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C
n
D
n
S
n
A
n
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Extensions
1→N→G→Q→1 with N=
C
5
×2
-
(1+4)
and Q=
C
3
Direct product G=N×Q with N=
C
5
×2
-
(1+4)
and Q=
C
3
d
ρ
Label
ID
C
15
×2
-
(1+4)
240
4
C15xES-(2,2)
480,1185
Semidirect products G=N:Q with N=
C
5
×2
-
(1+4)
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
×2
-
(1+4)
)⋊C
3
=
C
5
×D
4
.A
4
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
5
×2
-
(1+4)
80
4
(C5xES-(2,2)):C3
480,1132
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⋊
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