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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
22
and Q=
C
5
Direct product G=N×Q with N=
D
22
and Q=
C
5
d
ρ
Label
ID
C
10
×D
11
110
2
C10xD11
220,12
Semidirect products G=N:Q with N=
D
22
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
D
22
⋊C
5
=
C
2
×F
11
φ:
C
5
/
C
1
→
C
5
⊆ Out
D
22
22
10+
D22:C5
220,7
×
⋊
ℤ
𝔽
○
≀
ℚ
◁