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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=
D
5
and Q=
D
7
Direct product G=N×Q with N=
D
5
and Q=
D
7
d
ρ
Label
ID
D
5
×D
7
35
4+
D5xD7
140,7
Non-split extensions G=N.Q with N=
D
5
and Q=
D
7
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.D
7
=
C
7
⋊F
5
φ:
D
7
/
C
7
→
C
2
⊆ Out
D
5
35
4
D5.D7
140,6
×
⋊
ℤ
𝔽
○
≀
ℚ
◁