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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
C
3
×C
7
⋊D
7
147
C3xC7:D7
294,19
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
147
C3:(C7:D7)
294,22
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