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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
5
⋊C
8
Direct product G=N×Q with N=
C
3
and Q=
C
5
⋊C
8
d
ρ
Label
ID
C
3
×C
5
⋊C
8
120
4
C3xC5:C8
120,6
Semidirect products G=N:Q with N=
C
3
and Q=
C
5
⋊C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
5
⋊C
8
) =
C
15
⋊C
8
φ:
C
5
⋊C
8
/
Dic
5
→
C
2
⊆ Aut
C
3
120
4
C3:(C5:C8)
120,7
×
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○
≀
ℚ
◁