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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=
D
5
and Q=
2
-
1+4
Direct product G=NxQ with N=
D
5
and Q=
2
-
1+4
d
ρ
Label
ID
D
5
x2
-
1+4
80
8-
D5xES-(2,2)
320,1624
Non-split extensions G=N.Q with N=
D
5
and Q=
2
-
1+4
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.
1
2
-
1+4
=
D
5
.2
-
1+4
φ:
2
-
1+4
/
C
2
xQ
8
→
C
2
⊆ Out
D
5
80
8-
D5.1ES-(2,2)
320,1600
D
5
.
2
2
-
1+4
=
D
5
.2
+
1+4
φ:
2
-
1+4
/
C
4
oD
4
→
C
2
⊆ Out
D
5
40
8
D5.2ES-(2,2)
320,1604
x
:
Z
F
o
wr
Q
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