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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=
D
10
Direct product G=N×Q with N=
C
7
and Q=
D
10
d
ρ
Label
ID
D
5
×C
14
70
2
D5xC14
140,9
Semidirect products G=N:Q with N=
C
7
and Q=
D
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
D
10
=
D
5
×D
7
φ:
D
10
/
D
5
→
C
2
⊆ Aut
C
7
35
4+
C7:1D10
140,7
C
7
⋊
2
D
10
=
D
70
φ:
D
10
/
C
10
→
C
2
⊆ Aut
C
7
70
2+
C7:2D10
140,10
×
⋊
ℤ
𝔽
○
≀
ℚ
◁