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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
⋊C
3
and Q=
C
16
Direct product G=N×Q with N=
C
7
⋊C
3
and Q=
C
16
d
ρ
Label
ID
C
16
×C
7
⋊C
3
112
3
C16xC7:C3
336,2
Semidirect products G=N:Q with N=
C
7
⋊C
3
and Q=
C
16
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
⋊C
3
⋊C
16
=
C
7
⋊C
48
φ:
C
16
/
C
8
→
C
2
⊆ Out
C
7
⋊C
3
112
6
C7:C3:C16
336,1
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○
≀
ℚ
◁