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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
25
Direct product G=N×Q with N=
C
2
and Q=
S
3
×C
25
d
ρ
Label
ID
S
3
×C
50
150
2
S3xC50
300,10
Non-split extensions G=N.Q with N=
C
2
and Q=
S
3
×C
25
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(S
3
×C
25
) =
Dic
3
×C
25
central extension (φ=1)
300
2
C2.(S3xC25)
300,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁