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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
5
×F
7
and Q=
C
2
Direct product G=N×Q with N=
C
5
×F
7
and Q=
C
2
d
ρ
Label
ID
C
10
×F
7
70
6
C10xF7
420,17
Semidirect products G=N:Q with N=
C
5
×F
7
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
×F
7
)⋊C
2
=
D
5
×F
7
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
5
×F
7
35
12+
(C5xF7):C2
420,16
×
⋊
ℤ
𝔽
○
≀
ℚ
◁