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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=
D
45
and Q=
C
2
Direct product G=N×Q with N=
D
45
and Q=
C
2
d
ρ
Label
ID
D
90
90
2+
D90
180,11
Semidirect products G=N:Q with N=
D
45
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
D
45
⋊C
2
=
D
5
×D
9
φ:
C
2
/
C
1
→
C
2
⊆ Out
D
45
45
4+
D45:C2
180,7
×
⋊
ℤ
𝔽
○
≀
ℚ
◁