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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
2
2
×D
5
Direct product G=N×Q with N=
C
11
and Q=
C
2
2
×D
5
d
ρ
Label
ID
D
5
×C
2
×C
22
220
D5xC2xC22
440,49
Semidirect products G=N:Q with N=
C
11
and Q=
C
2
2
×D
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
11
⋊
1
(C
2
2
×D
5
) =
C
2
×D
5
×D
11
φ:
C
2
2
×D
5
/
D
10
→
C
2
⊆ Aut
C
11
110
4+
C11:1(C2^2xD5)
440,47
C
11
⋊
2
(C
2
2
×D
5
) =
C
2
2
×D
55
φ:
C
2
2
×D
5
/
C
2
×C
10
→
C
2
⊆ Aut
C
11
220
C11:2(C2^2xD5)
440,50
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