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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
7
:D
7
Direct product G=NxQ with N=
C
5
and Q=
C
7
:D
7
d
ρ
Label
ID
C
5
xC
7
:D
7
245
C5xC7:D7
490,6
Semidirect products G=N:Q with N=
C
5
and Q=
C
7
:D
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:(C
7
:D
7
) =
C
7
:D
35
φ:
C
7
:D
7
/
C
7
2
→
C
2
⊆ Aut
C
5
245
C5:(C7:D7)
490,9
x
:
Z
F
o
wr
Q
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