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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
9
and Q=
C
45
Direct product G=NxQ with N=
C
9
and Q=
C
45
d
ρ
Label
ID
C
9
xC
45
405
C9xC45
405,2
Semidirect products G=N:Q with N=
C
9
and Q=
C
45
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
:C
45
=
C
5
xC
9
:C
9
φ:
C
45
/
C
15
→
C
3
⊆ Aut
C
9
405
C9:C45
405,4
Non-split extensions G=N.Q with N=
C
9
and Q=
C
45
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
.C
45
=
C
5
xC
27
:C
3
φ:
C
45
/
C
15
→
C
3
⊆ Aut
C
9
135
3
C9.C45
405,6
x
:
Z
F
o
wr
Q
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