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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=
S
3
×C
10
and Q=
C
5
Direct product G=N×Q with N=
S
3
×C
10
and Q=
C
5
d
ρ
Label
ID
S
3
×C
5
×C
10
150
S3xC5xC10
300,46
Non-split extensions G=N.Q with N=
S
3
×C
10
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
×C
10
).C
5
=
S
3
×C
50
φ: trivial image
150
2
(S3xC10).C5
300,10
×
⋊
ℤ
𝔽
○
≀
ℚ
◁