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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=
C
10
Direct product G=N×Q with N=
D
5
and Q=
C
10
d
ρ
Label
ID
D
5
×C
10
20
2
D5xC10
100,14
Non-split extensions G=N.Q with N=
D
5
and Q=
C
10
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.C
10
=
C
5
×F
5
φ:
C
10
/
C
5
→
C
2
⊆ Out
D
5
20
4
D5.C10
100,9
×
⋊
ℤ
𝔽
○
≀
ℚ
◁