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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
25
and Q=
D
4
Direct product G=NxQ with N=
D
25
and Q=
D
4
d
ρ
Label
ID
D
4
xD
25
100
4+
D4xD25
400,39
Non-split extensions G=N.Q with N=
D
25
and Q=
D
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
25
.
1
D
4
=
C
100
:C
4
φ:
D
4
/
C
4
→
C
2
⊆ Out
D
25
100
4
D25.1D4
400,31
D
25
.
2
D
4
=
D
25
.D
4
φ:
D
4
/
C
2
2
→
C
2
⊆ Out
D
25
100
4+
D25.2D4
400,34
x
:
Z
F
o
wr
Q
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