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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
×F
5
and Q=
C
2
Direct product G=N×Q with N=
C
7
×F
5
and Q=
C
2
d
ρ
Label
ID
C
14
×F
5
70
4
C14xF5
280,34
Semidirect products G=N:Q with N=
C
7
×F
5
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
(C
7
×F
5
)⋊C
2
=
D
7
×F
5
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
7
×F
5
35
8+
(C7xF5):C2
280,32
×
⋊
ℤ
𝔽
○
≀
ℚ
◁