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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
3
2
⋊C
6
and Q=
S
3
Direct product G=N×Q with N=
C
3
2
⋊C
6
and Q=
S
3
d
ρ
Label
ID
S
3
×C
3
2
⋊C
6
18
12+
S3xC3^2:C6
324,116
Semidirect products G=N:Q with N=
C
3
2
⋊C
6
and Q=
S
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
2
⋊C
6
⋊S
3
=
He
3
⋊
5
D
6
φ:
S
3
/
C
3
→
C
2
⊆ Out
C
3
2
⋊C
6
18
12+
C3^2:C6:S3
324,121
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⋊
ℤ
𝔽
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≀
ℚ
◁