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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
2
2
and Q=
C
3
2
xC
9
Direct product G=NxQ with N=
C
2
2
and Q=
C
3
2
xC
9
d
ρ
Label
ID
C
3
xC
6
xC
18
324
C3xC6xC18
324,151
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
3
2
xC
9
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
:
1
(C
3
2
xC
9
) =
A
4
xC
3
xC
9
φ:
C
3
2
xC
9
/
C
3
xC
9
→
C
3
⊆ Aut
C
2
2
108
C2^2:1(C3^2xC9)
324,126
C
2
2
:
2
(C
3
2
xC
9
) =
C
3
2
xC
3
.A
4
φ:
C
3
2
xC
9
/
C
3
3
→
C
3
⊆ Aut
C
2
2
162
C2^2:2(C3^2xC9)
324,133
x
:
Z
F
o
wr
Q
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