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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
7
and Q=
D
25
Direct product G=NxQ with N=
C
7
and Q=
D
25
d
ρ
Label
ID
C
7
xD
25
175
2
C7xD25
350,1
Semidirect products G=N:Q with N=
C
7
and Q=
D
25
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:D
25
=
D
175
φ:
D
25
/
C
25
→
C
2
⊆ Aut
C
7
175
2+
C7:D25
350,3
x
:
Z
F
o
wr
Q
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