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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
50
and Q=
C
5
Direct product G=N×Q with N=
D
50
and Q=
C
5
d
ρ
Label
ID
C
10
×D
25
100
2
C10xD25
500,28
Semidirect products G=N:Q with N=
D
50
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
D
50
⋊C
5
=
C
2
×C
25
⋊C
10
φ:
C
5
/
C
1
→
C
5
⊆ Out
D
50
50
10+
D50:C5
500,31
×
⋊
ℤ
𝔽
○
≀
ℚ
◁