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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
4
:
8
D
10
and Q=
C
3
Direct product G=NxQ with N=
D
4
:
8
D
10
and Q=
C
3
d
ρ
Label
ID
C
3
xD
4
:
8
D
10
120
4
C3xD4:8D10
480,1146
Semidirect products G=N:Q with N=
D
4
:
8
D
10
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
D
4
:
8
D
10
:C
3
=
Dic
10
.A
4
φ:
C
3
/
C
1
→
C
3
⊆ Out
D
4
:
8
D
10
120
4+
D4:8D10:C3
480,1041
x
:
Z
F
o
wr
Q
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