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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
3
⋊Dic
3
Direct product G=N×Q with N=
D
5
and Q=
C
3
⋊Dic
3
d
ρ
Label
ID
D
5
×C
3
⋊Dic
3
180
D5xC3:Dic3
360,65
Semidirect products G=N:Q with N=
D
5
and Q=
C
3
⋊Dic
3
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
⋊(C
3
⋊Dic
3
) =
C
2
×C
3
2
⋊
3
F
5
φ:
C
3
⋊Dic
3
/
C
3
×C
6
→
C
2
⊆ Out
D
5
90
D5:(C3:Dic3)
360,147
×
⋊
ℤ
𝔽
○
≀
ℚ
◁