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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
Direct product G=N×Q with N=
D
5
and Q=
C
4
d
ρ
Label
ID
C
4
×D
5
20
2
C4xD5
40,5
Semidirect products G=N:Q with N=
D
5
and Q=
C
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
⋊C
4
=
C
2
×F
5
φ:
C
4
/
C
2
→
C
2
⊆ Out
D
5
10
4+
D5:C4
40,12
×
⋊
ℤ
𝔽
○
≀
ℚ
◁