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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=
F
9
Direct product G=NxQ with N=
C
3
and Q=
F
9
d
ρ
Label
ID
C
3
xF
9
24
8
C3xF9
216,154
Semidirect products G=N:Q with N=
C
3
and Q=
F
9
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:F
9
=
C
3
:F
9
φ:
F
9
/
C
3
2
:C
4
→
C
2
⊆ Aut
C
3
24
8
C3:F9
216,155
Non-split extensions G=N.Q with N=
C
3
and Q=
F
9
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.F
9
=
He
3
:C
8
φ:
F
9
/
C
3
2
:C
4
→
C
2
⊆ Aut
C
3
27
6+
C3.F9
216,86
x
:
Z
F
o
wr
Q
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