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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
xS
3
xQ
8
and Q=
C
3
Direct product G=NxQ with N=
C
2
xS
3
xQ
8
and Q=
C
3
d
ρ
Label
ID
S
3
xC
6
xQ
8
96
S3xC6xQ8
288,995
Semidirect products G=N:Q with N=
C
2
xS
3
xQ
8
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
xS
3
xQ
8
):C
3
=
C
2
xS
3
xSL
2
(
F
3
)
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
2
xS
3
xQ
8
48
(C2xS3xQ8):C3
288,922
x
:
Z
F
o
wr
Q
<