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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=
Q
64
Direct product G=NxQ with N=
C
7
and Q=
Q
64
d
ρ
Label
ID
C
7
xQ
64
448
2
C7xQ64
448,177
Semidirect products G=N:Q with N=
C
7
and Q=
Q
64
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:
1
Q
64
=
Dic
112
φ:
Q
64
/
C
32
→
C
2
⊆ Aut
C
7
448
2-
C7:1Q64
448,7
C
7
:
2
Q
64
=
C
7
:Q
64
φ:
Q
64
/
Q
32
→
C
2
⊆ Aut
C
7
448
4-
C7:2Q64
448,79
x
:
Z
F
o
wr
Q
<