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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
and Q=
C
2
xC
30
Direct product G=NxQ with N=
C
5
and Q=
C
2
xC
30
d
ρ
Label
ID
C
10
xC
30
300
C10xC30
300,49
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
xC
30
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:(C
2
xC
30
) =
D
5
xC
30
φ:
C
2
xC
30
/
C
30
→
C
2
⊆ Aut
C
5
60
2
C5:(C2xC30)
300,44
x
:
Z
F
o
wr
Q
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