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Linear
C
n
D
n
S
n
A
n
...
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Extensions
1→N→G→Q→1 with N=
C
7
and Q=
C
2
2
.
58
C
2
4
Direct product G=N×Q with N=
C
7
and Q=
C
2
2
.
58
C
2
4
d
ρ
Label
ID
C
7
×C
2
2
.
58
C
2
4
448
C7xC2^2.58C2^4
448,1347
Semidirect products G=N:Q with N=
C
7
and Q=
C
2
2
.
58
C
2
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊(C
2
2
.
58
C
2
4
) =
C
4
2
.
147
D
14
φ:
C
2
2
.
58
C
2
4
/
C
4
2
.C
2
→
C
2
⊆ Aut
C
7
448
C7:(C2^2.58C2^4)
448,1139
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