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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=
S
3
×C
7
Direct product G=N×Q with N=
D
5
and Q=
S
3
×C
7
d
ρ
Label
ID
S
3
×C
7
×D
5
105
4
S3xC7xD5
420,27
Non-split extensions G=N.Q with N=
D
5
and Q=
S
3
×C
7
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.(S
3
×C
7
) =
C
7
×C
3
⋊F
5
φ:
S
3
×C
7
/
C
21
→
C
2
⊆ Out
D
5
105
4
D5.(S3xC7)
420,22
×
⋊
ℤ
𝔽
○
≀
ℚ
◁