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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=
2
-
1+4
Direct product G=NxQ with N=
C
5
and Q=
2
-
1+4
d
ρ
Label
ID
C
5
x2
-
1+4
80
4
C5xES-(2,2)
160,233
Semidirect products G=N:Q with N=
C
5
and Q=
2
-
1+4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:
1
2
-
1+4
=
Q
8
.
10
D
10
φ:
2
-
1+4
/
C
2
xQ
8
→
C
2
⊆ Aut
C
5
80
4
C5:1ES-(2,2)
160,222
C
5
:
2
2
-
1+4
=
D
4
.
10
D
10
φ:
2
-
1+4
/
C
4
oD
4
→
C
2
⊆ Aut
C
5
80
4-
C5:2ES-(2,2)
160,225
x
:
Z
F
o
wr
Q
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