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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
18
and Q=
C
8
Direct product G=NxQ with N=
C
18
and Q=
C
8
d
ρ
Label
ID
C
2
xC
72
144
C2xC72
144,23
Semidirect products G=N:Q with N=
C
18
and Q=
C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
18
:C
8
=
C
2
xC
9
:C
8
φ:
C
8
/
C
4
→
C
2
⊆ Aut
C
18
144
C18:C8
144,9
Non-split extensions G=N.Q with N=
C
18
and Q=
C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
18
.C
8
=
C
9
:C
16
φ:
C
8
/
C
4
→
C
2
⊆ Aut
C
18
144
2
C18.C8
144,1
x
:
Z
F
o
wr
Q
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