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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
3
and Q=
C
9
xD
5
Direct product G=NxQ with N=
C
3
and Q=
C
9
xD
5
d
ρ
Label
ID
D
5
xC
3
xC
9
135
D5xC3xC9
270,5
Semidirect products G=N:Q with N=
C
3
and Q=
C
9
xD
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:(C
9
xD
5
) =
C
9
xD
15
φ:
C
9
xD
5
/
C
45
→
C
2
⊆ Aut
C
3
90
2
C3:(C9xD5)
270,13
Non-split extensions G=N.Q with N=
C
3
and Q=
C
9
xD
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.(C
9
xD
5
) =
D
5
xC
27
central extension (φ=1)
135
2
C3.(C9xD5)
270,2
x
:
Z
F
o
wr
Q
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