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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
4
×C
11
and Q=
C
5
Direct product G=N×Q with N=
D
4
×C
11
and Q=
C
5
d
ρ
Label
ID
D
4
×C
55
220
2
D4xC55
440,40
Semidirect products G=N:Q with N=
D
4
×C
11
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
(D
4
×C
11
)⋊C
5
=
D
4
×C
11
⋊C
5
φ:
C
5
/
C
1
→
C
5
⊆ Out
D
4
×C
11
44
10
(D4xC11):C5
440,13
×
⋊
ℤ
𝔽
○
≀
ℚ
◁