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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
2
and Q=
C
10
Direct product G=N×Q with N=
C
7
2
and Q=
C
10
d
ρ
Label
ID
C
7
×C
70
490
C7xC70
490,10
Semidirect products G=N:Q with N=
C
7
2
and Q=
C
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
2
⋊
1
C
10
=
D
7
×C
35
φ:
C
10
/
C
5
→
C
2
⊆ Aut
C
7
2
70
2
C7^2:1C10
490,5
C
7
2
⋊
2
C
10
=
C
5
×C
7
⋊D
7
φ:
C
10
/
C
5
→
C
2
⊆ Aut
C
7
2
245
C7^2:2C10
490,6
×
⋊
ℤ
𝔽
○
≀
ℚ
◁