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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=
Q
8
and Q=
C
3
xC
15
Direct product G=NxQ with N=
Q
8
and Q=
C
3
xC
15
d
ρ
Label
ID
Q
8
xC
3
xC
15
360
Q8xC3xC15
360,117
Semidirect products G=N:Q with N=
Q
8
and Q=
C
3
xC
15
extension
φ:Q→Out N
d
ρ
Label
ID
Q
8
:(C
3
xC
15
) =
C
15
xSL
2
(
F
3
)
φ:
C
3
xC
15
/
C
15
→
C
3
⊆ Out
Q
8
120
2
Q8:(C3xC15)
360,89
x
:
Z
F
o
wr
Q
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