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About
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
and Q=
C
5
xD
8
Direct product G=NxQ with N=
C
3
and Q=
C
5
xD
8
d
ρ
Label
ID
C
15
xD
8
120
2
C15xD8
240,86
Semidirect products G=N:Q with N=
C
3
and Q=
C
5
xD
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
5
xD
8
) =
C
5
xD
24
φ:
C
5
xD
8
/
C
40
→
C
2
⊆ Aut
C
3
120
2
C3:1(C5xD8)
240,52
C
3
:
2
(C
5
xD
8
) =
C
5
xD
4
:S
3
φ:
C
5
xD
8
/
C
5
xD
4
→
C
2
⊆ Aut
C
3
120
4
C3:2(C5xD8)
240,60
x
:
Z
F
o
wr
Q
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