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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
17
⋊C
4
Direct product G=N×Q with N=
C
7
and Q=
C
17
⋊C
4
d
ρ
Label
ID
C
7
×C
17
⋊C
4
119
4
C7xC17:C4
476,5
Semidirect products G=N:Q with N=
C
7
and Q=
C
17
⋊C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊(C
17
⋊C
4
) =
C
17
⋊Dic
7
φ:
C
17
⋊C
4
/
D
17
→
C
2
⊆ Aut
C
7
119
4
C7:(C17:C4)
476,6
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𝔽
○
≀
ℚ
◁