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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
and Q=
D
5
:C
8
Direct product G=NxQ with N=
C
3
and Q=
D
5
:C
8
d
ρ
Label
ID
C
3
xD
5
:C
8
120
4
C3xD5:C8
240,111
Semidirect products G=N:Q with N=
C
3
and Q=
D
5
:C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(D
5
:C
8
) =
D
15
:C
8
φ:
D
5
:C
8
/
C
5
:C
8
→
C
2
⊆ Aut
C
3
120
8+
C3:1(D5:C8)
240,99
C
3
:
2
(D
5
:C
8
) =
C
60
.C
4
φ:
D
5
:C
8
/
C
4
xD
5
→
C
2
⊆ Aut
C
3
120
4
C3:2(D5:C8)
240,118
x
:
Z
F
o
wr
Q
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