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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
and Q=
C
3
3
⋊C
2
Direct product G=N×Q with N=
C
7
and Q=
C
3
3
⋊C
2
d
ρ
Label
ID
C
7
×C
3
3
⋊C
2
189
C7xC3^3:C2
378,58
Semidirect products G=N:Q with N=
C
7
and Q=
C
3
3
⋊C
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊(C
3
3
⋊C
2
) =
C
3
3
⋊D
7
φ:
C
3
3
⋊C
2
/
C
3
3
→
C
2
⊆ Aut
C
7
189
C7:(C3^3:C2)
378,59
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⋊
ℤ
𝔽
○
≀
ℚ
◁