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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
7
⋊C
8
Direct product G=N×Q with N=
C
7
and Q=
C
7
⋊C
8
d
ρ
Label
ID
C
7
×C
7
⋊C
8
56
2
C7xC7:C8
392,14
Semidirect products G=N:Q with N=
C
7
and Q=
C
7
⋊C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊(C
7
⋊C
8
) =
C
7
2
⋊
4
C
8
φ:
C
7
⋊C
8
/
C
28
→
C
2
⊆ Aut
C
7
392
C7:(C7:C8)
392,15
Non-split extensions G=N.Q with N=
C
7
and Q=
C
7
⋊C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
.(C
7
⋊C
8
) =
C
49
⋊C
8
φ:
C
7
⋊C
8
/
C
28
→
C
2
⊆ Aut
C
7
392
2
C7.(C7:C8)
392,1
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