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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
3
and Q=
C
7
×D
7
Direct product G=N×Q with N=
C
3
and Q=
C
7
×D
7
d
ρ
Label
ID
D
7
×C
21
42
2
D7xC21
294,18
Semidirect products G=N:Q with N=
C
3
and Q=
C
7
×D
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
7
×D
7
) =
C
7
×D
21
φ:
C
7
×D
7
/
C
7
2
→
C
2
⊆ Aut
C
3
42
2
C3:(C7xD7)
294,21
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𝔽
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◁