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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
3
⋊C
16
Direct product G=N×Q with N=
C
7
and Q=
C
3
⋊C
16
d
ρ
Label
ID
C
7
×C
3
⋊C
16
336
2
C7xC3:C16
336,3
Semidirect products G=N:Q with N=
C
7
and Q=
C
3
⋊C
16
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊(C
3
⋊C
16
) =
C
21
⋊C
16
φ:
C
3
⋊C
16
/
C
24
→
C
2
⊆ Aut
C
7
336
2
C7:(C3:C16)
336,5
×
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𝔽
○
≀
ℚ
◁