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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=
D
7
Direct product G=N×Q with N=
C
7
⋊C
3
and Q=
D
7
d
ρ
Label
ID
D
7
×C
7
⋊C
3
42
6
D7xC7:C3
294,9
Semidirect products G=N:Q with N=
C
7
⋊C
3
and Q=
D
7
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
⋊C
3
⋊D
7
=
C
7
⋊
5
F
7
φ:
D
7
/
C
7
→
C
2
⊆ Out
C
7
⋊C
3
21
6+
C7:C3:D7
294,10
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𝔽
○
≀
ℚ
◁