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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
7
and Q=
C
3
×D
5
Direct product G=N×Q with N=
D
7
and Q=
C
3
×D
5
d
ρ
Label
ID
C
3
×D
5
×D
7
105
4
C3xD5xD7
420,24
Semidirect products G=N:Q with N=
D
7
and Q=
C
3
×D
5
extension
φ:Q→Out N
d
ρ
Label
ID
D
7
⋊(C
3
×D
5
) =
D
5
×F
7
φ:
C
3
×D
5
/
D
5
→
C
3
⊆ Out
D
7
35
12+
D7:(C3xD5)
420,16
×
⋊
ℤ
𝔽
○
≀
ℚ
◁