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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
11
and Q=
S
3
×C
6
Direct product G=N×Q with N=
C
11
and Q=
S
3
×C
6
d
ρ
Label
ID
S
3
×C
66
132
2
S3xC66
396,26
Semidirect products G=N:Q with N=
C
11
and Q=
S
3
×C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
11
⋊
1
(S
3
×C
6
) =
C
3
×S
3
×D
11
φ:
S
3
×C
6
/
C
3
×S
3
→
C
2
⊆ Aut
C
11
66
4
C11:1(S3xC6)
396,19
C
11
⋊
2
(S
3
×C
6
) =
C
6
×D
33
φ:
S
3
×C
6
/
C
3
×C
6
→
C
2
⊆ Aut
C
11
132
2
C11:2(S3xC6)
396,27
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⋊
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○
≀
ℚ
◁