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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
×F
5
Direct product G=N×Q with N=
C
3
and Q=
C
7
×F
5
d
ρ
Label
ID
F
5
×C
21
105
4
F5xC21
420,20
Semidirect products G=N:Q with N=
C
3
and Q=
C
7
×F
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
7
×F
5
) =
C
7
×C
3
⋊F
5
φ:
C
7
×F
5
/
C
7
×D
5
→
C
2
⊆ Aut
C
3
105
4
C3:(C7xF5)
420,22
×
⋊
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○
≀
ℚ
◁