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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
⋊C
3
and Q=
F
5
Direct product G=N×Q with N=
C
7
⋊C
3
and Q=
F
5
d
ρ
Label
ID
F
5
×C
7
⋊C
3
35
12
F5xC7:C3
420,14
Semidirect products G=N:Q with N=
C
7
⋊C
3
and Q=
F
5
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
⋊C
3
⋊F
5
=
C
35
⋊C
12
φ:
F
5
/
D
5
→
C
2
⊆ Out
C
7
⋊C
3
35
12
C7:C3:F5
420,15
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⋊
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○
≀
ℚ
◁