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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
25
and Q=
Dic
3
Direct product G=NxQ with N=
C
25
and Q=
Dic
3
d
ρ
Label
ID
Dic
3
xC
25
300
2
Dic3xC25
300,1
Semidirect products G=N:Q with N=
C
25
and Q=
Dic
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
25
:Dic
3
=
C
75
:C
4
φ:
Dic
3
/
C
3
→
C
4
⊆ Aut
C
25
75
4
C25:Dic3
300,6
C
25
:
2
Dic
3
=
Dic
75
φ:
Dic
3
/
C
6
→
C
2
⊆ Aut
C
25
300
2-
C25:2Dic3
300,3
x
:
Z
F
o
wr
Q
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