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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=
S
3
xC
9
and Q=
C
3
Direct product G=NxQ with N=
S
3
xC
9
and Q=
C
3
d
ρ
Label
ID
S
3
xC
3
xC
9
54
S3xC3xC9
162,33
Semidirect products G=N:Q with N=
S
3
xC
9
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
xC
9
):C
3
=
S
3
x3
-
1+2
φ:
C
3
/
C
1
→
C
3
⊆ Out
S
3
xC
9
18
6
(S3xC9):C3
162,37
Non-split extensions G=N.Q with N=
S
3
xC
9
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
xC
9
).C
3
=
S
3
xC
27
φ: trivial image
54
2
(S3xC9).C3
162,8
x
:
Z
F
o
wr
Q
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