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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
17
Direct product G=N×Q with N=
D
5
and Q=
D
17
d
ρ
Label
ID
D
5
×D
17
85
4+
D5xD17
340,11
Non-split extensions G=N.Q with N=
D
5
and Q=
D
17
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.D
17
=
C
17
⋊
3
F
5
φ:
D
17
/
C
17
→
C
2
⊆ Out
D
5
85
4
D5.D17
340,8
×
⋊
ℤ
𝔽
○
≀
ℚ
◁