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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
7
and Q=
Dic
10
Direct product G=NxQ with N=
C
7
and Q=
Dic
10
d
ρ
Label
ID
C
7
xDic
10
280
2
C7xDic10
280,19
Semidirect products G=N:Q with N=
C
7
and Q=
Dic
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:
1
Dic
10
=
C
35
:Q
8
φ:
Dic
10
/
Dic
5
→
C
2
⊆ Aut
C
7
280
4-
C7:1Dic10
280,13
C
7
:
2
Dic
10
=
Dic
70
φ:
Dic
10
/
C
20
→
C
2
⊆ Aut
C
7
280
2-
C7:2Dic10
280,24
x
:
Z
F
o
wr
Q
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