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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=
D
5
Direct product G=N×Q with N=
C
7
2
and Q=
D
5
d
ρ
Label
ID
D
5
×C
7
2
245
D5xC7^2
490,7
Semidirect products G=N:Q with N=
C
7
2
and Q=
D
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
2
⋊
1
D
5
=
C
7
×D
35
φ:
D
5
/
C
5
→
C
2
⊆ Aut
C
7
2
70
2
C7^2:1D5
490,8
C
7
2
⋊
2
D
5
=
C
7
⋊D
35
φ:
D
5
/
C
5
→
C
2
⊆ Aut
C
7
2
245
C7^2:2D5
490,9
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⋊
ℤ
𝔽
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ℚ
◁