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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
⋊F
5
and Q=
C
2
Direct product G=N×Q with N=
C
3
⋊F
5
and Q=
C
2
d
ρ
Label
ID
C
2
×C
3
⋊F
5
30
4
C2xC3:F5
120,41
Semidirect products G=N:Q with N=
C
3
⋊F
5
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
⋊F
5
⋊C
2
=
S
3
×F
5
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
3
⋊F
5
15
8+
C3:F5:C2
120,36
×
⋊
ℤ
𝔽
○
≀
ℚ
◁