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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=
Q
8
2
Direct product G=N×Q with N=
C
7
and Q=
Q
8
2
d
ρ
Label
ID
C
7
×Q
8
2
448
C7xQ8^2
448,1341
Semidirect products G=N:Q with N=
C
7
and Q=
Q
8
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
Q
8
2
=
Q
8
×Dic
14
φ:
Q
8
2
/
C
4
×Q
8
→
C
2
⊆ Aut
C
7
448
C7:1Q8^2
448,1019
C
7
⋊
2
Q
8
2
=
Dic
14
⋊
9
Q
8
φ:
Q
8
2
/
C
4
⋊Q
8
→
C
2
⊆ Aut
C
7
448
C7:2Q8^2
448,1175
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