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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
2
4
:
2
D
5
and Q=
C
3
Direct product G=NxQ with N=
C
2
4
:
2
D
5
and Q=
C
3
d
ρ
Label
ID
C
3
xC
2
4
:
2
D
5
120
C3xC2^4:2D5
480,746
Semidirect products G=N:Q with N=
C
2
4
:
2
D
5
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
2
4
:
2
D
5
:C
3
=
(C
2
2
xD
5
):A
4
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
2
4
:
2
D
5
40
6
C2^4:2D5:C3
480,268
x
:
Z
F
o
wr
Q
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