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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
×Q
8
Direct product G=N×Q with N=
C
7
and Q=
C
7
×Q
8
d
ρ
Label
ID
Q
8
×C
7
2
392
Q8xC7^2
392,35
Semidirect products G=N:Q with N=
C
7
and Q=
C
7
×Q
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊(C
7
×Q
8
) =
C
7
×Dic
14
φ:
C
7
×Q
8
/
C
28
→
C
2
⊆ Aut
C
7
56
2
C7:(C7xQ8)
392,23
Non-split extensions G=N.Q with N=
C
7
and Q=
C
7
×Q
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
.(C
7
×Q
8
) =
Q
8
×C
49
central extension (φ=1)
392
2
C7.(C7xQ8)
392,10
×
⋊
ℤ
𝔽
○
≀
ℚ
◁