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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=
D
5
and Q=
D
15
Direct product G=N×Q with N=
D
5
and Q=
D
15
d
ρ
Label
ID
D
5
×D
15
30
4+
D5xD15
300,39
Non-split extensions G=N.Q with N=
D
5
and Q=
D
15
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.D
15
=
D
5
.D
15
φ:
D
15
/
C
15
→
C
2
⊆ Out
D
5
60
4
D5.D15
300,33
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⋊
ℤ
𝔽
○
≀
ℚ
◁