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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
16
Direct product G=N×Q with N=
C
5
and Q=
C
16
d
ρ
Label
ID
C
80
80
1
C80
80,2
Semidirect products G=N:Q with N=
C
5
and Q=
C
16
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊C
16
=
C
5
⋊C
16
φ:
C
16
/
C
4
→
C
4
⊆ Aut
C
5
80
4
C5:C16
80,3
C
5
⋊
2
C
16
=
C
5
⋊
2
C
16
φ:
C
16
/
C
8
→
C
2
⊆ Aut
C
5
80
2
C5:2C16
80,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁