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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr
Extensions
1→N→G→Q→1 with N=
C
11
and Q=
C
2
xF
5
Direct product G=NxQ with N=
C
11
and Q=
C
2
xF
5
d
ρ
Label
ID
F
5
xC
22
110
4
F5xC22
440,45
Semidirect products G=N:Q with N=
C
11
and Q=
C
2
xF
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
11
:
1
(C
2
xF
5
) =
F
5
xD
11
φ:
C
2
xF
5
/
F
5
→
C
2
⊆ Aut
C
11
55
8+
C11:1(C2xF5)
440,43
C
11
:
2
(C
2
xF
5
) =
C
2
xC
11
:F
5
φ:
C
2
xF
5
/
D
10
→
C
2
⊆ Aut
C
11
110
4
C11:2(C2xF5)
440,46
x
:
Z
F
o
wr
Q
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