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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
xS
3
and Q=
Q
16
Direct product G=NxQ with N=
C
3
xS
3
and Q=
Q
16
d
ρ
Label
ID
C
3
xS
3
xQ
16
96
4
C3xS3xQ16
288,688
Semidirect products G=N:Q with N=
C
3
xS
3
and Q=
Q
16
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
xS
3
):
1
Q
16
=
S
3
xDic
12
φ:
Q
16
/
C
8
→
C
2
⊆ Out
C
3
xS
3
96
4-
(C3xS3):1Q16
288,447
(C
3
xS
3
):
2
Q
16
=
S
3
xC
3
:Q
16
φ:
Q
16
/
Q
8
→
C
2
⊆ Out
C
3
xS
3
96
8-
(C3xS3):2Q16
288,590
x
:
Z
F
o
wr
Q
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