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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=
D
5
Direct product G=NxQ with N=
C
5
and Q=
D
5
d
ρ
Label
ID
C
5
xD
5
10
2
C5xD5
50,3
Semidirect products G=N:Q with N=
C
5
and Q=
D
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:D
5
=
C
5
:D
5
φ:
D
5
/
C
5
→
C
2
⊆ Aut
C
5
25
C5:D5
50,4
Non-split extensions G=N.Q with N=
C
5
and Q=
D
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
.D
5
=
D
25
φ:
D
5
/
C
5
→
C
2
⊆ Aut
C
5
25
2+
C5.D5
50,1
x
:
Z
F
o
wr
Q
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