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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
4
xC
12
Direct product G=NxQ with N=
D
5
and Q=
C
4
xC
12
d
ρ
Label
ID
D
5
xC
4
xC
12
240
D5xC4xC12
480,664
Semidirect products G=N:Q with N=
D
5
and Q=
C
4
xC
12
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
:(C
4
xC
12
) =
F
5
xC
2
xC
12
φ:
C
4
xC
12
/
C
2
xC
12
→
C
2
⊆ Out
D
5
120
D5:(C4xC12)
480,1050
x
:
Z
F
o
wr
Q
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