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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=
D
81
Direct product G=NxQ with N=
C
3
and Q=
D
81
d
ρ
Label
ID
C
3
xD
81
162
2
C3xD81
486,32
Semidirect products G=N:Q with N=
C
3
and Q=
D
81
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:D
81
=
C
81
:S
3
φ:
D
81
/
C
81
→
C
2
⊆ Aut
C
3
243
C3:D81
486,60
Non-split extensions G=N.Q with N=
C
3
and Q=
D
81
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.D
81
=
D
243
φ:
D
81
/
C
81
→
C
2
⊆ Aut
C
3
243
2+
C3.D81
486,1
x
:
Z
F
o
wr
Q
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