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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
3
and Q=
C
160
Direct product G=N×Q with N=
C
3
and Q=
C
160
d
ρ
Label
ID
C
480
480
1
C480
480,4
Semidirect products G=N:Q with N=
C
3
and Q=
C
160
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊C
160
=
C
5
×C
3
⋊C
32
φ:
C
160
/
C
80
→
C
2
⊆ Aut
C
3
480
2
C3:C160
480,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁