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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
5
and Q=
C
9
xD
5
Direct product G=NxQ with N=
C
5
and Q=
C
9
xD
5
d
ρ
Label
ID
D
5
xC
45
90
2
D5xC45
450,14
Semidirect products G=N:Q with N=
C
5
and Q=
C
9
xD
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:(C
9
xD
5
) =
C
9
xC
5
:D
5
φ:
C
9
xD
5
/
C
45
→
C
2
⊆ Aut
C
5
225
C5:(C9xD5)
450,15
Non-split extensions G=N.Q with N=
C
5
and Q=
C
9
xD
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
.(C
9
xD
5
) =
C
9
xD
25
φ:
C
9
xD
5
/
C
45
→
C
2
⊆ Aut
C
5
225
2
C5.(C9xD5)
450,2
x
:
Z
F
o
wr
Q
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