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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
×Q
8
and Q=
C
9
Direct product G=N×Q with N=
C
5
×Q
8
and Q=
C
9
d
ρ
Label
ID
Q
8
×C
45
360
2
Q8xC45
360,32
Semidirect products G=N:Q with N=
C
5
×Q
8
and Q=
C
9
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
×Q
8
)⋊C
9
=
C
5
×Q
8
⋊C
9
φ:
C
9
/
C
3
→
C
3
⊆ Out
C
5
×Q
8
360
2
(C5xQ8):C9
360,14
×
⋊
ℤ
𝔽
○
≀
ℚ
◁