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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
4
2
Direct product G=N×Q with N=
D
5
and Q=
C
4
2
d
ρ
Label
ID
D
5
×C
4
2
80
D5xC4^2
160,92
Semidirect products G=N:Q with N=
D
5
and Q=
C
4
2
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
⋊C
4
2
=
C
2
×C
4
×F
5
φ:
C
4
2
/
C
2
×C
4
→
C
2
⊆ Out
D
5
40
D5:C4^2
160,203
×
⋊
ℤ
𝔽
○
≀
ℚ
◁