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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=
C
5
×S
3
Direct product G=N×Q with N=
D
5
and Q=
C
5
×S
3
d
ρ
Label
ID
C
5
×S
3
×D
5
30
4
C5xS3xD5
300,37
Non-split extensions G=N.Q with N=
D
5
and Q=
C
5
×S
3
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.(C
5
×S
3
) =
C
5
×C
3
⋊F
5
φ:
C
5
×S
3
/
C
15
→
C
2
⊆ Out
D
5
60
4
D5.(C5xS3)
300,32
×
⋊
ℤ
𝔽
○
≀
ℚ
◁