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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
and Q=
S
3
×C
7
Direct product G=N×Q with N=
C
5
and Q=
S
3
×C
7
d
ρ
Label
ID
S
3
×C
35
105
2
S3xC35
210,8
Semidirect products G=N:Q with N=
C
5
and Q=
S
3
×C
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(S
3
×C
7
) =
C
7
×D
15
φ:
S
3
×C
7
/
C
21
→
C
2
⊆ Aut
C
5
105
2
C5:(S3xC7)
210,10
×
⋊
ℤ
𝔽
○
≀
ℚ
◁