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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
5
and Q=
D
14
Direct product G=N×Q with N=
C
5
and Q=
D
14
d
ρ
Label
ID
C
10
×D
7
70
2
C10xD7
140,8
Semidirect products G=N:Q with N=
C
5
and Q=
D
14
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊
1
D
14
=
D
5
×D
7
φ:
D
14
/
D
7
→
C
2
⊆ Aut
C
5
35
4+
C5:1D14
140,7
C
5
⋊
2
D
14
=
D
70
φ:
D
14
/
C
14
→
C
2
⊆ Aut
C
5
70
2+
C5:2D14
140,10
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⋊
ℤ
𝔽
○
≀
ℚ
◁