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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=
D
5
and Q=
C
48
Direct product G=NxQ with N=
D
5
and Q=
C
48
d
ρ
Label
ID
D
5
xC
48
240
2
D5xC48
480,75
Semidirect products G=N:Q with N=
D
5
and Q=
C
48
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
:C
48
=
C
3
xD
5
:C
16
φ:
C
48
/
C
24
→
C
2
⊆ Out
D
5
240
4
D5:C48
480,269
x
:
Z
F
o
wr
Q
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