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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
2
2
and Q=
C
5
×C
15
Direct product G=N×Q with N=
C
2
2
and Q=
C
5
×C
15
d
ρ
Label
ID
C
10
×C
30
300
C10xC30
300,49
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
5
×C
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊(C
5
×C
15
) =
A
4
×C
5
2
φ:
C
5
×C
15
/
C
5
2
→
C
3
⊆ Aut
C
2
2
100
C2^2:(C5xC15)
300,42
×
⋊
ℤ
𝔽
○
≀
ℚ
◁