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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
×D
5
and Q=
C
15
Direct product G=N×Q with N=
C
3
×D
5
and Q=
C
15
d
ρ
Label
ID
D
5
×C
3
×C
15
90
D5xC3xC15
450,26
Non-split extensions G=N.Q with N=
C
3
×D
5
and Q=
C
15
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
×D
5
).C
15
=
D
5
×C
45
φ: trivial image
90
2
(C3xD5).C15
450,14
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⋊
ℤ
𝔽
○
≀
ℚ
◁