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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
5
xC
4
oD
4
and Q=
C
3
Direct product G=NxQ with N=
C
5
xC
4
oD
4
and Q=
C
3
d
ρ
Label
ID
C
15
xC
4
oD
4
120
2
C15xC4oD4
240,188
Semidirect products G=N:Q with N=
C
5
xC
4
oD
4
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
xC
4
oD
4
):C
3
=
C
5
xC
4
.A
4
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
5
xC
4
oD
4
80
2
(C5xC4oD4):C3
240,154
x
:
Z
F
o
wr
Q
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