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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
2
⋊
6
C
4
Direct product G=N×Q with N=
C
3
and Q=
C
5
2
⋊
6
C
4
d
ρ
Label
ID
C
3
×C
5
2
⋊
6
C
4
300
C3xC5^2:6C4
300,17
Semidirect products G=N:Q with N=
C
3
and Q=
C
5
2
⋊
6
C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
5
2
⋊
6
C
4
) =
C
30
.D
5
φ:
C
5
2
⋊
6
C
4
/
C
5
×C
10
→
C
2
⊆ Aut
C
3
300
C3:(C5^2:6C4)
300,20
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⋊
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𝔽
○
≀
ℚ
◁