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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=
C
5
xDic
3
Direct product G=NxQ with N=
C
7
and Q=
C
5
xDic
3
d
ρ
Label
ID
Dic
3
xC
35
420
2
Dic3xC35
420,8
Semidirect products G=N:Q with N=
C
7
and Q=
C
5
xDic
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:(C
5
xDic
3
) =
C
5
xDic
21
φ:
C
5
xDic
3
/
C
30
→
C
2
⊆ Aut
C
7
420
2
C7:(C5xDic3)
420,9
x
:
Z
F
o
wr
Q
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