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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
2
and Q=
S
3
×C
5
2
Direct product G=N×Q with N=
C
2
and Q=
S
3
×C
5
2
d
ρ
Label
ID
S
3
×C
5
×C
10
150
S3xC5xC10
300,46
Non-split extensions G=N.Q with N=
C
2
and Q=
S
3
×C
5
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(S
3
×C
5
2
) =
Dic
3
×C
5
2
central extension (φ=1)
300
C2.(S3xC5^2)
300,18
×
⋊
ℤ
𝔽
○
≀
ℚ
◁