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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
4
2
⋊C
3
Direct product G=N×Q with N=
C
7
and Q=
C
4
2
⋊C
3
d
ρ
Label
ID
C
7
×C
4
2
⋊C
3
84
3
C7xC4^2:C3
336,56
Semidirect products G=N:Q with N=
C
7
and Q=
C
4
2
⋊C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊(C
4
2
⋊C
3
) =
C
4
2
⋊(C
7
⋊C
3
)
φ:
C
4
2
⋊C
3
/
C
4
2
→
C
3
⊆ Aut
C
7
84
3
C7:(C4^2:C3)
336,57
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○
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◁