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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
2
2
×D
11
Direct product G=N×Q with N=
C
5
and Q=
C
2
2
×D
11
d
ρ
Label
ID
C
2
×C
10
×D
11
220
C2xC10xD11
440,48
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
2
×D
11
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊
1
(C
2
2
×D
11
) =
C
2
×D
5
×D
11
φ:
C
2
2
×D
11
/
D
22
→
C
2
⊆ Aut
C
5
110
4+
C5:1(C2^2xD11)
440,47
C
5
⋊
2
(C
2
2
×D
11
) =
C
2
2
×D
55
φ:
C
2
2
×D
11
/
C
2
×C
22
→
C
2
⊆ Aut
C
5
220
C5:2(C2^2xD11)
440,50
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⋊
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○
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