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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
70
Direct product G=NxQ with N=
C
5
and Q=
C
70
d
ρ
Label
ID
C
5
xC
70
350
C5xC70
350,10
Semidirect products G=N:Q with N=
C
5
and Q=
C
70
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:C
70
=
D
5
xC
35
φ:
C
70
/
C
35
→
C
2
⊆ Aut
C
5
70
2
C5:C70
350,6
x
:
Z
F
o
wr
Q
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