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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
25
and Q=
C
3
⋊S
3
Direct product G=N×Q with N=
C
25
and Q=
C
3
⋊S
3
d
ρ
Label
ID
C
3
⋊S
3
×C
25
225
C3:S3xC25
450,8
Semidirect products G=N:Q with N=
C
25
and Q=
C
3
⋊S
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
25
⋊(C
3
⋊S
3
) =
C
3
⋊D
75
φ:
C
3
⋊S
3
/
C
3
2
→
C
2
⊆ Aut
C
25
225
C25:(C3:S3)
450,9
×
⋊
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𝔽
○
≀
ℚ
◁