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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
and Q=
C
9
⋊C
6
Direct product G=N×Q with N=
C
5
and Q=
C
9
⋊C
6
d
ρ
Label
ID
C
5
×C
9
⋊C
6
45
6
C5xC9:C6
270,11
Semidirect products G=N:Q with N=
C
5
and Q=
C
9
⋊C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(C
9
⋊C
6
) =
D
45
⋊C
3
φ:
C
9
⋊C
6
/
3
-
 1+2
→
C
2
⊆ Aut
C
5
45
6+
C5:(C9:C6)
270,15
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𝔽
○
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ℚ
◁