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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
3
×C
6
Direct product G=N×Q with N=
C
5
and Q=
C
3
×C
6
d
ρ
Label
ID
C
3
×C
30
90
C3xC30
90,10
Semidirect products G=N:Q with N=
C
5
and Q=
C
3
×C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(C
3
×C
6
) =
C
3
2
×D
5
φ:
C
3
×C
6
/
C
3
2
→
C
2
⊆ Aut
C
5
45
C5:(C3xC6)
90,5
×
⋊
ℤ
𝔽
○
≀
ℚ
◁