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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
5
xS
3
and Q=
Q
8
Direct product G=NxQ with N=
C
5
xS
3
and Q=
Q
8
d
ρ
Label
ID
C
5
xS
3
xQ
8
120
4
C5xS3xQ8
240,171
Semidirect products G=N:Q with N=
C
5
xS
3
and Q=
Q
8
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
xS
3
):Q
8
=
S
3
xDic
10
φ:
Q
8
/
C
4
→
C
2
⊆ Out
C
5
xS
3
120
4-
(C5xS3):Q8
240,128
x
:
Z
F
o
wr
Q
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