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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
:F
5
and Q=
C
8
Direct product G=NxQ with N=
C
3
:F
5
and Q=
C
8
d
ρ
Label
ID
C
8
xC
3
:F
5
120
4
C8xC3:F5
480,296
Semidirect products G=N:Q with N=
C
3
:F
5
and Q=
C
8
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
:F
5
:C
8
=
C
30
.C
4
2
φ:
C
8
/
C
4
→
C
2
⊆ Out
C
3
:F
5
120
8
C3:F5:C8
480,224
x
:
Z
F
o
wr
Q
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