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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=
C
8
2
Direct product G=NxQ with N=
C
7
and Q=
C
8
2
d
ρ
Label
ID
C
8
xC
56
448
C8xC56
448,125
Semidirect products G=N:Q with N=
C
7
and Q=
C
8
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:C
8
2
=
C
8
xC
7
:C
8
φ:
C
8
2
/
C
4
xC
8
→
C
2
⊆ Aut
C
7
448
C7:C8^2
448,10
x
:
Z
F
o
wr
Q
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