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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
×S
3
and Q=
C
14
Direct product G=N×Q with N=
C
5
×S
3
and Q=
C
14
d
ρ
Label
ID
S
3
×C
70
210
2
S3xC70
420,37
Semidirect products G=N:Q with N=
C
5
×S
3
and Q=
C
14
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
×S
3
)⋊C
14
=
S
3
×C
7
×D
5
φ:
C
14
/
C
7
→
C
2
⊆ Out
C
5
×S
3
105
4
(C5xS3):C14
420,27
×
⋊
ℤ
𝔽
○
≀
ℚ
◁