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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
7
and Q=
C
8
2
Direct product G=N×Q with N=
C
7
and Q=
C
8
2
d
ρ
Label
ID
C
8
×C
56
448
C8xC56
448,125
Semidirect products G=N:Q with N=
C
7
and Q=
C
8
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊C
8
2
=
C
8
×C
7
⋊C
8
φ:
C
8
2
/
C
4
×C
8
→
C
2
⊆ Aut
C
7
448
C7:C8^2
448,10
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⋊
ℤ
𝔽
○
≀
ℚ
◁