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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
11
and Q=
C
5
2
Direct product G=N×Q with N=
C
11
and Q=
C
5
2
d
ρ
Label
ID
C
5
×C
55
275
C5xC55
275,4
Semidirect products G=N:Q with N=
C
11
and Q=
C
5
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
11
⋊C
5
2
=
C
5
×C
11
⋊C
5
φ:
C
5
2
/
C
5
→
C
5
⊆ Aut
C
11
55
5
C11:C5^2
275,3
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𝔽
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≀
ℚ
◁