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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
11
and Q=
C
5
Direct product G=N×Q with N=
S
3
×C
11
and Q=
C
5
d
ρ
Label
ID
S
3
×C
55
165
2
S3xC55
330,8
Semidirect products G=N:Q with N=
S
3
×C
11
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
×C
11
)⋊C
5
=
S
3
×C
11
⋊C
5
φ:
C
5
/
C
1
→
C
5
⊆ Out
S
3
×C
11
33
10
(S3xC11):C5
330,2
×
⋊
ℤ
𝔽
○
≀
ℚ
◁