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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
3
2
and Q=
C
5
×D
5
Direct product G=N×Q with N=
C
3
2
and Q=
C
5
×D
5
d
ρ
Label
ID
D
5
×C
3
×C
15
90
D5xC3xC15
450,26
Semidirect products G=N:Q with N=
C
3
2
and Q=
C
5
×D
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
2
⋊
1
(C
5
×D
5
) =
C
15
×D
15
φ:
C
5
×D
5
/
C
5
2
→
C
2
⊆ Aut
C
3
2
30
2
C3^2:1(C5xD5)
450,29
C
3
2
⋊
2
(C
5
×D
5
) =
C
5
×C
3
⋊D
15
φ:
C
5
×D
5
/
C
5
2
→
C
2
⊆ Aut
C
3
2
90
C3^2:2(C5xD5)
450,32
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