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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
16
:
5
C
4
Direct product G=NxQ with N=
C
7
and Q=
C
16
:
5
C
4
d
ρ
Label
ID
C
7
xC
16
:
5
C
4
448
C7xC16:5C4
448,150
Semidirect products G=N:Q with N=
C
7
and Q=
C
16
:
5
C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:
1
(C
16
:
5
C
4
) =
C
56
.C
8
φ:
C
16
:
5
C
4
/
C
4
xC
8
→
C
2
⊆ Aut
C
7
448
C7:1(C16:5C4)
448,18
C
7
:
2
(C
16
:
5
C
4
) =
C
112
:
9
C
4
φ:
C
16
:
5
C
4
/
C
2
xC
16
→
C
2
⊆ Aut
C
7
448
C7:2(C16:5C4)
448,59
x
:
Z
F
o
wr
Q
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