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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
2
⋊
6
C
4
and Q=
C
3
Direct product G=N×Q with N=
C
5
2
⋊
6
C
4
and Q=
C
3
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
5
2
⋊
6
C
4
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
5
2
⋊
6
C
4
⋊C
3
=
C
5
2
⋊
2
C
12
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
5
2
⋊
6
C
4
60
6-
C5^2:6C4:C3
300,14
×
⋊
ℤ
𝔽
○
≀
ℚ
◁