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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
.He
3
and Q=
S
3
Direct product G=N×Q with N=
C
3
.He
3
and Q=
S
3
d
ρ
Label
ID
S
3
×C
3
.He
3
54
6
S3xC3.He3
486,124
Semidirect products G=N:Q with N=
C
3
.He
3
and Q=
S
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
.He
3
⋊
1
S
3
=
(C
3
2
×C
9
).S
3
φ:
S
3
/
C
3
→
C
2
⊆ Out
C
3
.He
3
81
C3.He3:1S3
486,188
C
3
.He
3
⋊
2
S
3
=
C
3
≀C
3
⋊S
3
φ:
S
3
/
C
3
→
C
2
⊆ Out
C
3
.He
3
27
6+
C3.He3:2S3
486,189
×
⋊
ℤ
𝔽
○
≀
ℚ
◁