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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
:
1
C
8
Direct product G=NxQ with N=
C
7
and Q=
C
8
:
1
C
8
d
ρ
Label
ID
C
7
xC
8
:
1
C
8
448
C7xC8:1C8
448,139
Semidirect products G=N:Q with N=
C
7
and Q=
C
8
:
1
C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:
1
(C
8
:
1
C
8
) =
C
56
:
1
C
8
φ:
C
8
:
1
C
8
/
C
4
xC
8
→
C
2
⊆ Aut
C
7
448
C7:1(C8:1C8)
448,15
C
7
:
2
(C
8
:
1
C
8
) =
C
28
.
53
D
8
φ:
C
8
:
1
C
8
/
C
4
:C
8
→
C
2
⊆ Aut
C
7
448
C7:2(C8:1C8)
448,36
x
:
Z
F
o
wr
Q
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