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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=
C
44
Direct product G=N×Q with N=
C
5
and Q=
C
44
d
ρ
Label
ID
C
220
220
1
C220
220,6
Semidirect products G=N:Q with N=
C
5
and Q=
C
44
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊C
44
=
C
11
×F
5
φ:
C
44
/
C
11
→
C
4
⊆ Aut
C
5
55
4
C5:C44
220,9
C
5
⋊
2
C
44
=
C
11
×Dic
5
φ:
C
44
/
C
22
→
C
2
⊆ Aut
C
5
220
2
C5:2C44
220,3
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𝔽
○
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ℚ
◁