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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=
C
5
and Q=
C
4
Direct product G=N×Q with N=
C
5
and Q=
C
4
d
ρ
Label
ID
C
20
20
1
C20
20,2
Semidirect products G=N:Q with N=
C
5
and Q=
C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊C
4
=
F
5
φ:
C
4
/
C
1
→
C
4
⊆ Aut
C
5
5
4+
C5:C4
20,3
C
5
⋊
2
C
4
=
Dic
5
φ:
C
4
/
C
2
→
C
2
⊆ Aut
C
5
20
2-
C5:2C4
20,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁