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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
xC
6
and Q=
C
5
Direct product G=NxQ with N=
C
2
4
xC
6
and Q=
C
5
d
ρ
Label
ID
C
2
4
xC
30
480
C2^4xC30
480,1213
Semidirect products G=N:Q with N=
C
2
4
xC
6
and Q=
C
5
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
4
xC
6
):C
5
=
C
6
xC
2
4
:C
5
φ:
C
5
/
C
1
→
C
5
⊆ Aut
C
2
4
xC
6
30
5
(C2^4xC6):C5
480,1204
x
:
Z
F
o
wr
Q
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