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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
⋊C
3
and Q=
C
6
Direct product G=N×Q with N=
C
5
2
⋊C
3
and Q=
C
6
d
ρ
Label
ID
C
6
×C
5
2
⋊C
3
90
3
C6xC5^2:C3
450,25
Semidirect products G=N:Q with N=
C
5
2
⋊C
3
and Q=
C
6
extension
φ:Q→Out N
d
ρ
Label
ID
C
5
2
⋊C
3
⋊
1
C
6
=
C
3
×C
5
2
⋊S
3
φ:
C
6
/
C
3
→
C
2
⊆ Out
C
5
2
⋊C
3
45
3
C5^2:C3:1C6
450,20
C
5
2
⋊C
3
⋊
2
C
6
=
C
3
×C
5
2
⋊C
6
φ:
C
6
/
C
3
→
C
2
⊆ Out
C
5
2
⋊C
3
45
6
C5^2:C3:2C6
450,22
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