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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=
D
5
Direct product G=NxQ with N=
C
25
and Q=
D
5
d
ρ
Label
ID
D
5
xC
25
50
2
D5xC25
250,4
Semidirect products G=N:Q with N=
C
25
and Q=
D
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
25
:D
5
=
C
25
:D
5
φ:
D
5
/
C
5
→
C
2
⊆ Aut
C
25
125
C25:D5
250,7
Non-split extensions G=N.Q with N=
C
25
and Q=
D
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
25
.D
5
=
D
125
φ:
D
5
/
C
5
→
C
2
⊆ Aut
C
25
125
2+
C25.D5
250,1
x
:
Z
F
o
wr
Q
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