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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
16
Direct product G=N×Q with N=
C
7
and Q=
Q
16
d
ρ
Label
ID
C
7
×Q
16
112
2
C7xQ16
112,26
Semidirect products G=N:Q with N=
C
7
and Q=
Q
16
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
Q
16
=
Dic
28
φ:
Q
16
/
C
8
→
C
2
⊆ Aut
C
7
112
2-
C7:1Q16
112,7
C
7
⋊
2
Q
16
=
C
7
⋊Q
16
φ:
Q
16
/
Q
8
→
C
2
⊆ Aut
C
7
112
4-
C7:2Q16
112,17
×
⋊
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𝔽
○
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◁