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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
55
and Q=
C
2
Direct product G=N×Q with N=
D
55
and Q=
C
2
d
ρ
Label
ID
D
110
110
2+
D110
220,14
Semidirect products G=N:Q with N=
D
55
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
D
55
⋊C
2
=
D
5
×D
11
φ:
C
2
/
C
1
→
C
2
⊆ Out
D
55
55
4+
D55:C2
220,11
×
⋊
ℤ
𝔽
○
≀
ℚ
◁