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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
41
and Q=
S
3
Direct product G=N×Q with N=
C
41
and Q=
S
3
d
ρ
Label
ID
S
3
×C
41
123
2
S3xC41
246,1
Semidirect products G=N:Q with N=
C
41
and Q=
S
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
41
⋊S
3
=
D
123
φ:
S
3
/
C
3
→
C
2
⊆ Aut
C
41
123
2+
C41:S3
246,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁