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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=
F
7
Direct product G=N×Q with N=
D
5
and Q=
F
7
d
ρ
Label
ID
D
5
×F
7
35
12+
D5xF7
420,16
Non-split extensions G=N.Q with N=
D
5
and Q=
F
7
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.F
7
=
C
35
⋊C
12
φ:
F
7
/
C
7
⋊C
3
→
C
2
⊆ Out
D
5
35
12
D5.F7
420,15
×
⋊
ℤ
𝔽
○
≀
ℚ
◁