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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=
Q
64
Direct product G=NxQ with N=
C
3
and Q=
Q
64
d
ρ
Label
ID
C
3
xQ
64
192
2
C3xQ64
192,179
Semidirect products G=N:Q with N=
C
3
and Q=
Q
64
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
Q
64
=
Dic
48
φ:
Q
64
/
C
32
→
C
2
⊆ Aut
C
3
192
2-
C3:1Q64
192,9
C
3
:
2
Q
64
=
C
3
:Q
64
φ:
Q
64
/
Q
32
→
C
2
⊆ Aut
C
3
192
4-
C3:2Q64
192,81
x
:
Z
F
o
wr
Q
<