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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
2
2
xC
7
:C
3
Direct product G=NxQ with N=
C
5
and Q=
C
2
2
xC
7
:C
3
d
ρ
Label
ID
C
2
xC
10
xC
7
:C
3
140
C2xC10xC7:C3
420,31
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
2
xC
7
:C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:(C
2
2
xC
7
:C
3
) =
C
2
xD
5
xC
7
:C
3
φ:
C
2
2
xC
7
:C
3
/
C
2
xC
7
:C
3
→
C
2
⊆ Aut
C
5
70
6
C5:(C2^2xC7:C3)
420,18
x
:
Z
F
o
wr
Q
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