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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=
D
22
Direct product G=N×Q with N=
C
5
and Q=
D
22
d
ρ
Label
ID
C
10
×D
11
110
2
C10xD11
220,12
Semidirect products G=N:Q with N=
C
5
and Q=
D
22
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊
1
D
22
=
D
5
×D
11
φ:
D
22
/
D
11
→
C
2
⊆ Aut
C
5
55
4+
C5:1D22
220,11
C
5
⋊
2
D
22
=
D
110
φ:
D
22
/
C
22
→
C
2
⊆ Aut
C
5
110
2+
C5:2D22
220,14
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⋊
ℤ
𝔽
○
≀
ℚ
◁