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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
3
xDic
7
Direct product G=NxQ with N=
C
5
and Q=
C
3
xDic
7
d
ρ
Label
ID
C
15
xDic
7
420
2
C15xDic7
420,5
Semidirect products G=N:Q with N=
C
5
and Q=
C
3
xDic
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:(C
3
xDic
7
) =
C
3
xC
7
:F
5
φ:
C
3
xDic
7
/
C
21
→
C
4
⊆ Aut
C
5
105
4
C5:(C3xDic7)
420,21
C
5
:
2
(C
3
xDic
7
) =
C
3
xDic
35
φ:
C
3
xDic
7
/
C
42
→
C
2
⊆ Aut
C
5
420
2
C5:2(C3xDic7)
420,7
x
:
Z
F
o
wr
Q
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