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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
4
2
.C
4
Direct product G=NxQ with N=
C
7
and Q=
C
4
2
.C
4
d
ρ
Label
ID
C
7
xC
4
2
.C
4
112
4
C7xC4^2.C4
448,159
Semidirect products G=N:Q with N=
C
7
and Q=
C
4
2
.C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:
1
(C
4
2
.C
4
) =
(C
2
xC
4
).D
28
φ:
C
4
2
.C
4
/
C
4
.
10
D
4
→
C
2
⊆ Aut
C
7
112
8+
C7:1(C4^2.C4)
448,34
C
7
:
2
(C
4
2
.C
4
) =
C
4
2
.Dic
7
φ:
C
4
2
.C
4
/
C
4
.
4
D
4
→
C
2
⊆ Aut
C
7
112
4
C7:2(C4^2.C4)
448,99
x
:
Z
F
o
wr
Q
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