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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
50
Direct product G=N×Q with N=
D
5
and Q=
C
50
d
ρ
Label
ID
D
5
×C
50
100
2
D5xC50
500,29
Non-split extensions G=N.Q with N=
D
5
and Q=
C
50
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.C
50
=
F
5
×C
25
φ:
C
50
/
C
25
→
C
2
⊆ Out
D
5
100
4
D5.C50
500,15
×
⋊
ℤ
𝔽
○
≀
ℚ
◁